Theorems · Theorem · category theory
CategoryTheory.MonoOver.map.congr_simp
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (f f_1 : X ⟶ Y) (e_f : f = f_1)
[inst_1 : CategoryTheory.Mono f], CategoryTheory.MonoOver.map f = CategoryTheory.MonoOver.map f_1- Cited by
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- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Overstatement · cited by 935
- CategoryTheory.Monostatement and proof · cited by 893
- CategoryTheory.MonoOverstatement · cited by 115
- CategoryTheory.Over.isMonostatement · cited by 111
- CategoryTheory.MonoOver.mapstatement and proof · cited by 12
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