Theorems · Theorem · category theory
CategoryTheory.Injective.iso_iff
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {P Q : C} (i : P ≅ Q),
CategoryTheory.Injective P ↔ CategoryTheory.Injective Q- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.Iso.symmproof · cited by 993
- CategoryTheory.Injectivestatement · cited by 70
- CategoryTheory.Injective.of_isoproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.epiWithInjectiveKernel_iff_of_isZeroproof · cited by 1