Theorems · Theorem · category theory
SemiSimplexCategory.homOfMono.congr_simp
∀ {n m : SemiSimplexCategory}
(f f_1 : SemiSimplexCategory.toSimplexCategory.obj n ⟶ SemiSimplexCategory.toSimplexCategory.obj m) (e_f : f = f_1)
[inst : CategoryTheory.Mono f], SemiSimplexCategory.homOfMono f = SemiSimplexCategory.homOfMono f_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Mono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- SimplexCategorystatement · cited by 2,204
- CategoryTheory.Monostatement and proof · cited by 893
- SemiSimplexCategorystatement and proof · cited by 15
- SemiSimplexCategory.toSimplexCategorystatement and proof · cited by 4
- SemiSimplexCategory.homOfMonostatement and proof · cited by 3
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.