Theorems · Theorem · category theory
CategoryTheory.Subobject.eq_top_of_isIso_arrow
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {Y : C} (P : CategoryTheory.Subobject Y)
[CategoryTheory.IsIso P.arrow], P = ⊤- Defined in
- Mathlib.CategoryTheory.Subobject.Lattice
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Classical.choice, Quot.sound
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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.Functor.objstatement · cited by 19,642
- Top.topstatement · cited by 9,680
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.Subobjectstatement and proof · cited by 385
- CategoryTheory.Subobject.underlyingstatement · cited by 211
- CategoryTheory.Subobject.arrowstatement and proof · cited by 175
- CategoryTheory.Subobject.isIso_arrow_iff_eq_topproof · cited by 4
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