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Theorems · Theorem · algebraic topology

SSet.mem_degenerate_iff_notMem_nonDegenerate

∀ (X : SSet) {n : ℕ} (x : X.obj (Opposite.op { len := n })), x ∈ X.degenerate n ↔ x ∉ X.nonDegenerate n
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Degenerate
Cited by
2 results in Mathlib
Foundations
Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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PartialOrder.mem_nerve_nonDegenerate_iff_strictMono · cited by 3PartialOrder.mem_nerve_no…SSet.stdSimplex.subcomplex_hasDimensionLT_of_neq_top · cited by 1stdSimplex.subcomplex_has…Set · cited by 53352SetCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySSet · cited by 1283SSetSSet.nonDegenerate · cited by 106SSet.nonDegenerateSSet.degenerate · cited by 29SSet.degenerateSSet.mem_degenerate_iff_notMe…CITED BYCITES

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Cited by2

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