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Theorems · Theorem · combinatorics

AbstractSimplicialComplex.ext

∀ {ι : Type u_1} {x y : AbstractSimplicialComplex ι}, x.faces = y.faces → x = y
Defined in
Mathlib.AlgebraicTopology.SimplicialComplex.Basic
Cited by
2 results in Mathlib
Foundations
Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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AbstractSimplicialComplex.toPreAbstractSimplicialComplex_injective · cited by 0AbstractSimplicialComplex…AbstractSimplicialComplex.ext_iff · cited by 0AbstractSimplicialComplex…Set · cited by 53352SetFinset · cited by 13712FinsetFinset.Nonempty · cited by 1001Finset.NonemptyPreAbstractSimplicialComplex.faces · cited by 36PreAbstractSimplicialComp…IsRelLowerSet · cited by 29IsRelLowerSetAbstractSimplicialComplex · cited by 10AbstractSimplicialComplexAbstractSimplicialComplex.toPreAbstractSimplicialComplex · cited by 7AbstractSimplicialComplex…AbstractSimplicialComplex.extCITED BYCITES

Cites7

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Cited by2

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