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#Calculemus

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José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "s ∪ f⁻¹[v] ⊆ f⁻¹[f[s] ∪ v]". <a href="https://jaalonso.github.io/calculemus/posts/2025/04/25-union_con_la_imagen_inversa" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2025/04/25-union_con_la_imagen_inversa</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f[s] ∩ v = f[s ∩ f⁻¹[v]​]​". <a href="https://jaalonso.github.io/calculemus/posts/2025/04/24-interseccion_con_la_imagen_inversa/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2025/04/24-interseccion_con_la_imagen_inversa/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f[s ∪ f⁻¹[v]​] ⊆ f[s] ∪ v". <a href="https://jaalonso.github.io/calculemus/posts/2025/04/23-union_con_la_imagen/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2025/04/23-union_con_la_imagen/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f[s] ∩ t = f[s ∩ f⁻¹[t]]". <a href="https://jaalonso.github.io/calculemus/posts/2025/04/22-interseccion_con_la_imagen/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2025/04/22-interseccion_con_la_imagen/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f[s] \ f[t] ⊆ f[s \ t]​". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/17-imagen_de_la_diferencia_de_conjuntos/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/17-imagen_de_la_diferencia_de_conjuntos/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "Si f es inyectiva, entonces f[s] ∩ f[t] ⊆ f[s ∩ t]​". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/16-imagen_de_la_interseccion_de_aplicaciones_inyectivas/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/16-imagen_de_la_interseccion_de_aplicaciones_inyectivas/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f[s ∩ t] ⊆ f[s] ∩ f[t]​". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/15-imagen_de_la_interseccion/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/15-imagen_de_la_interseccion/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f⁻¹[A ∪ B] = f⁻¹[A] ∪ f⁻¹[B]". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/14-imagen_inversa_de_la_union/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/14-imagen_inversa_de_la_union/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "Si u ⊆ v, entonces f⁻¹[u] ⊆ f⁻¹[v]​". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/13-monotonia_de_la_imagen_inversa/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/13-monotonia_de_la_imagen_inversa/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "Monotonía de la imagen de conjuntos". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/12-monotonia_de_la_imagen_de_conjuntos/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/12-monotonia_de_la_imagen_de_conjuntos/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "Si f es suprayectiva, entonces u ⊆ f[f⁻¹[u]​]". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/11-imagen_de_imagen_inversa_de_aplicaciones_suprayectivas/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/11-imagen_de_imagen_inversa_de_aplicaciones_suprayectivas/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "f[f⁻¹[u]​] ⊆ u". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/10-imagen_de_la_imagen_inversa/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/10-imagen_de_la_imagen_inversa/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p><a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a>: Demostraciones con Lean4 y con Isabelle/HOL de "Si f es inyectiva, entonces f⁻¹[f[s]] ⊆ s". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/09-imagen_inversa_de_la_imagen_de_aplicaciones_inyectivas/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/09-imagen_inversa_de_la_imagen_de_aplicaciones_inyectivas/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "f(s) ⊆ u ↔ s ⊆ f⁻¹(u)". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/08-subconjunto_de_la_imagen_inversa/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/08-subconjunto_de_la_imagen_inversa/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "s ⊆ f⁻¹(f(s))". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/07-imagen_inversa_de_la_imagen/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/07-imagen_inversa_de_la_imagen/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "f(s ∪ t) = f(s) ∪ f(t)". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/06-imagen_de_la_union/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/06-imagen_de_la_union/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "f⁻¹(u ∩ v) = f⁻¹(u) ∩ f⁻¹(v)". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/05-imagen_inversa_de_la_interseccion/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/05-imagen_inversa_de_la_interseccion/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "s ∪ (⋂ i, A i) = ⋂ i, (A i ∪ s)". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/04-union_con_interseccion_general/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/04-union_con_interseccion_general/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "⋂_i, (A(i) ∩ B(i)) = (⋂_i, A(i)) ∩ (⋂_i, B(i))". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/03-interseccion_de_intersecciones/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/03-interseccion_de_intersecciones/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>
José A. Alonso<p>Demostraciones con Lean4 y con Isabelle/HOL de "s ∩ ⋃_i A(i) = ⋃_i (A(i) ∩ s)". <a href="https://jaalonso.github.io/calculemus/posts/2021/06/02-distributiva_de_la_interseccion_respecto_de_la_union_general/" rel="nofollow noopener" translate="no" target="_blank"><span class="invisible">https://</span><span class="ellipsis">jaalonso.github.io/calculemus/</span><span class="invisible">posts/2021/06/02-distributiva_de_la_interseccion_respecto_de_la_union_general/</span></a> <a href="https://mathstodon.xyz/tags/LeanProver" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>LeanProver</span></a> <a href="https://mathstodon.xyz/tags/IsabelleHOL" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>IsabelleHOL</span></a> <a href="https://mathstodon.xyz/tags/Math" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Math</span></a> <a href="https://mathstodon.xyz/tags/Calculemus" class="mention hashtag" rel="nofollow noopener" target="_blank">#<span>Calculemus</span></a></p>