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Theorems · Definition · algebraic topology

SSet.S.opEquiv

{X : SSet} → X.op.S ≃ X.S

The bijection X.op.S ≃ X.S.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Simplices
Cited by
3 results in Mathlib
Foundations
Depth 40 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.S.opEquiv_symm_apply · cited by 1S.opEquiv_symm_applySSet.S.opEquiv_apply · cited by 0S.opEquiv_applySSet.S.IsUniquelyCodimOneFace.op · cited by 0IsUniquelyCodimOneFace.opDFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmSSet · cited by 1283SSetSSet.S.simplex · cited by 111S.simplexSSet.S · cited by 69SSet.SSSet.op · cited by 33SSet.opSSet.opObjEquiv · cited by 26SSet.opObjEquivS.opEquivCITED BYCITES

Cites8

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

Cited by3

Results whose statement or proof uses this declaration.