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Theorems · Definition · algebraic topology

SSet.coherentIso

SSet

The simplicial set that encodes a single isomorphism. Its n-simplices are formal compositions of arrows in WalkingIso.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.CoherentIso
Cited by
3 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.coherentIso.hom · cited by 3coherentIso.homSSet.coherentIso.inv · cited by 3coherentIso.invSSet.coherentIso.invStructHom · cited by 3coherentIso.invStructHomSSet.coherentIso.x₀ · cited by 3coherentIso.x₀SSet.coherentIso.x₁ · cited by 3coherentIso.x₁SSet.coherentIso.homInvId · cited by 1coherentIso.homInvIdSSet.coherentIso.invHomId · cited by 1coherentIso.invHomIdSSet.coherentIso.invStructHom_homInvId · cited by 0coherentIso.invStructHom_…SSet.coherentIso.invStructHom_inv · cited by 0coherentIso.invStructHom_…SSet.coherentIso.invStructHom_invHomId · cited by 0coherentIso.invStructHom_…SSet.coherentIso.invStructOfEqMapHom · cited by 0coherentIso.invStructOfEq…SSet · cited by 1283SSetCategoryTheory.nerve · cited by 68CategoryTheory.nerveCategoryTheory.WalkingIso · cited by 16CategoryTheory.WalkingIsoSSet.coherentIsoCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by11

Results whose statement or proof uses this declaration.