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Theorems · Theorem · algebraic topology

SSet.Subcomplex.PairingCore.isRegular_pairing_iff

∀ {X : SSet} {A : X.Subcomplex} (h : A.PairingCore), h.pairing.IsRegular ↔ h.IsRegular
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.PairingCore
Cited by
4 results in Mathlib
Foundations
Depth 96 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.Subcomplex.PairingCore.isRegular_iff_nonempty_weakRankFunction · cited by 0PairingCore.isRegular_iff…SSet.Subcomplex.PairingCore.WeakRankFunction.isRegular · cited by 0WeakRankFunction.isRegularSSet.Subcomplex.PairingCore.RankFunction.isRegular · cited by 0RankFunction.isRegularSSet.Subcomplex.PairingCore.isRegular_iff_nonempty_rankFunction · cited by 0PairingCore.isRegular_iff…DFunLike.coe · cited by 62936DFunLike.coeSSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.PairingCore · cited by 50Subcomplex.PairingCoreSSet.Subcomplex.PairingCore.ι · cited by 42PairingCore.ιIsEmpty.false · cited by 24IsEmpty.falseSSet.Subcomplex.Pairing.AncestralRel · cited by 22Pairing.AncestralRelSSet.Subcomplex.Pairing.IsRegular · cited by 17Pairing.IsRegularSSet.Subcomplex.PairingCore.AncestralRel · cited by 13PairingCore.AncestralRelSSet.Subcomplex.PairingCore.pairing · cited by 11PairingCore.pairingSSet.Subcomplex.PairingCore.IsProper · cited by 10PairingCore.IsProperSSet.Subcomplex.PairingCore.equivII · cited by 7PairingCore.equivIISSet.Subcomplex.PairingCore.IsRegular · cited by 6PairingCore.IsRegularwellFounded_iff_isEmpty_descending_chain · cited by 5wellFounded_iff_isEmpty_d…SSet.Subcomplex.Pairing.wf · cited by 1Pairing.wfPairingCore.isRegular_pairing…CITED BYCITES

Cites16

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Cited by4

Results whose statement or proof uses this declaration.