Mathlib Map

Theorems · Inductive type · algebraic topology

SSet.Subcomplex.PairingCore.WeakRankFunction

{X : SSet} → {A : X.Subcomplex} → A.PairingCore → (α : Type v) → [PartialOrder α] → Type (max u_1 v)

A weak rank function h : A.PairingCore is a function from the index type h.ι to a partially ordered type which maps an ancestrality relation between indices of the same dimension to a strict inequality.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.AnodyneExtensions.Rank
Cited by
7 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Quot.sound
Assumes
PartialOrder

Around this declaration

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

SSet.Subcomplex.PairingCore.weakRankFunctionEquiv · cited by 2PairingCore.weakRankFunct…SSet.Subcomplex.PairingCore.WeakRankFunction.mk.inj · cited by 1mk.injSSet.Subcomplex.PairingCore.WeakRankFunction.mk.noConfusion · cited by 1mk.noConfusionSSet.Subcomplex.PairingCore.WeakRankFunction.rank · cited by 1WeakRankFunction.rankSSet.prodStdSimplex.weakRankFunction · cited by 0prodStdSimplex.weakRankFu…SSet.Subcomplex.PairingCore.WeakRankFunction.mk.congr_simp · cited by 0mk.congr_simpSSet.Subcomplex.PairingCore.WeakRankFunction.mk.injEq · cited by 0mk.injEqSSet.Subcomplex.PairingCore.WeakRankFunction.mk.sizeOf_spec · cited by 0mk.sizeOf_specSSet.Subcomplex.PairingCore.WeakRankFunction.casesOn · cited by 0WeakRankFunction.casesOnSSet.Subcomplex.PairingCore.WeakRankFunction.ctorIdx · cited by 0WeakRankFunction.ctorIdxSSet.Subcomplex.PairingCore.WeakRankFunction.isRegular · cited by 0WeakRankFunction.isRegularSSet.Subcomplex.PairingCore.WeakRankFunction.lt · cited by 0WeakRankFunction.ltSSet.Subcomplex.PairingCore.WeakRankFunction.noConfusion · cited by 0WeakRankFunction.noConfus…SSet.Subcomplex.PairingCore.WeakRankFunction.noConfusionType · cited by 0WeakRankFunction.noConfus…SSet.Subcomplex.PairingCore.WeakRankFunction.recOn · cited by 0WeakRankFunction.recOnPartialOrder · cited by 6410PartialOrderSSet · cited by 1283SSetSSet.Subcomplex · cited by 461SSet.SubcomplexSSet.Subcomplex.PairingCore · cited by 50Subcomplex.PairingCorePairingCore.WeakRankFunctionCITED BYCITES

Cites4

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Cited by16

Results whose statement or proof uses this declaration.