Theorems · Theorem · category theory
CategoryTheory.MorphismProperty.under_iso_iff
∀ {T : Type u_3} [inst : CategoryTheory.Category.{v_3, u_3} T] (P : CategoryTheory.MorphismProperty T) [P.RespectsIso]
{X : T} {f g : CategoryTheory.Under X} (e : f ≅ g), P f.hom ↔ P g.hom- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 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
- CategoryTheory.Isostatement and proof · cited by 3,963
- CategoryTheory.MorphismPropertystatement and proof · cited by 2,179
- CategoryTheory.Understatement and proof · cited by 276
- CategoryTheory.MorphismProperty.RespectsIsostatement and proof · cited by 248
- CategoryTheory.Under.rightstatement · cited by 128
- CategoryTheory.Under.homstatement · cited by 73
- CategoryTheory.MorphismProperty.comma_iso_iffproof · cited by 5
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