Theorems · Theorem · algebraic topology
SSet.Subcomplex.preimage_inv
∀ {X Y : SSet} (A : X.Subcomplex) (f : X ⟶ Y) [inst : CategoryTheory.IsIso f],
A.preimage (CategoryTheory.inv f) = A.image f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.IsIso
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Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- Oppositestatement and proof · cited by 8,081
- CategoryTheory.NatTrans.appproof · cited by 7,406
- Set.preimageproof · cited by 4,946
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- Set.extproof · cited by 2,266
- SimplexCategorystatement and proof · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.IsIsostatement and proof · cited by 1,156
- CategoryTheory.invstatement and proof · cited by 467
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