Theorems · Theorem · algebraic topology
SSet.relativeCellComplexOfMono_isoBot
∀ {X Y : SSet} (i : X ⟶ Y) [inst : CategoryTheory.Mono i],
(SSet.relativeCellComplexOfMono i).isoBot =
SSet.Subcomplex.eqToIso ⋯ ≪≫ (CategoryTheory.asIso (SSet.Subcomplex.toRange i)).symm- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Mono
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- Oppositestatement · cited by 8,081
- CategoryTheory.Functor.compstatement · cited by 6,529
- Bot.botstatement · cited by 4,720
- CategoryTheory.Isostatement · cited by 3,963
- SimplexCategorystatement · cited by 2,204
- SSetstatement and proof · cited by 1,283
- CategoryTheory.Iso.symmstatement · cited by 993
- OrderHomstatement · cited by 934
- CategoryTheory.Monostatement and proof · cited by 893
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