Theorems · Theorem · algebraic topology
SSet.Subcomplex.Pairing.WeakRankFunction.mk.sizeOf_spec
∀ {X : SSet} {A : X.Subcomplex} {P : A.Pairing} {α : Type v} [inst : PartialOrder α] [inst_1 : SizeOf α]
(rank : ↑P.II → α) (lt : ∀ {x y : ↑P.II}, P.AncestralRel x y → (↑x).dim = (↑y).dim → rank x < rank y),
sizeOf { rank := rank, lt := lt } = 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PartialOrderSizeOf
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- PartialOrderstatement and proof · cited by 6,410
- SSetstatement and proof · cited by 1,283
- SSet.Subcomplexstatement and proof · cited by 461
- SSet.N.toSstatement and proof · cited by 171
- SSet.S.dimstatement and proof · cited by 162
- SSet.Subcomplex.Nstatement · cited by 155
- SSet.Subcomplex.N.toNstatement and proof · cited by 126
- SSet.Subcomplex.Pairingstatement and proof · cited by 117
- SSet.Subcomplex.Pairing.IIstatement and proof · cited by 58
- SSet.Subcomplex.Pairing.AncestralRelstatement and proof · cited by 22
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