Mathlib Map

Theorems · Theorem · algebraic topology

SSet.Subcomplex.PairingCore.pairing_p_equivII

∀ {X : SSet} {A : X.Subcomplex} (h : A.PairingCore) (x : h.ι), h.pairing.p (h.equivII x) = h.equivI x
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
Cited by
2 results in Mathlib
Foundations
Depth 48 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SSet.Subcomplex.PairingCore.type₁_pairing · cited by 1PairingCore.type₁_pairingSSet.Subcomplex.PairingCore.ancestralRel_iff · cited by 0PairingCore.ancestralRel_…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivSet.Elem · cited by 7166Set.ElemSSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexEquiv.symm_apply_apply · cited by 320Equiv.symm_apply_applySSet.Subcomplex.N · cited by 155Subcomplex.NSSet.Subcomplex.PairingCore · cited by 50Subcomplex.PairingCoreSSet.Subcomplex.PairingCore.ι · cited by 42PairingCore.ιSSet.Subcomplex.Pairing.p · cited by 32Pairing.pSSet.Subcomplex.PairingCore.pairing · cited by 11PairingCore.pairingSSet.Subcomplex.PairingCore.equivII · cited by 7PairingCore.equivIISSet.Subcomplex.PairingCore.II · cited by 6PairingCore.IISSet.Subcomplex.PairingCore.I · cited by 4PairingCore.ISSet.Subcomplex.PairingCore.equivI · cited by 3PairingCore.equivIPairingCore.pairing_p_equivIICITED BYCITES

Cites15

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

Cited by2

Results whose statement or proof uses this declaration.