Theorems · Theorem · algebraic topology
SSet.Subcomplex.image_inv
∀ {X Y : SSet} (A : Y.Subcomplex) (f : X ⟶ Y) [inst : CategoryTheory.IsIso f],
A.image (CategoryTheory.inv f) = A.preimage f- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.IsIso
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · 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
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.preimagestatement and proof · cited by 37
- SSet.Subcomplex.imagestatement · cited by 26
- CategoryTheory.IsIso.inv_invproof · cited by 10
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