Theorems · Theorem · algebraic topology
SSet.Subcomplex.PairingCore.WeakRankFunction.lt
∀ {X : SSet} {A : X.Subcomplex} {h : A.PairingCore} {α : Type v} [inst : PartialOrder α] (self : h.WeakRankFunction α)
{x y : h.ι}, h.AncestralRel x y → h.dim x = h.dim y → self.rank x < self.rank y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrder
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.Subcomplex.PairingCorestatement and proof · cited by 50
- SSet.Subcomplex.PairingCore.ιstatement · cited by 42
- SSet.Subcomplex.PairingCore.dimstatement · cited by 22
- SSet.Subcomplex.PairingCore.AncestralRelstatement · cited by 13
- SSet.Subcomplex.PairingCore.WeakRankFunctionstatement and proof · cited by 7
- SSet.Subcomplex.PairingCore.WeakRankFunction.rankstatement · cited by 1
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