Theorems · Theorem · algebraic topology
SSet.N.toSemiSimplexCategory_map
∀ (X : SSet) [inst : X.Nonsingular] {X_1 Y : X.N} (f : X_1 ⟶ Y),
(SSet.N.toSemiSimplexCategory X).map f = SemiSimplexCategory.homOfMono (SSet.N.monoOfLE ⋯)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SSet.Nonsingular
Around this declaration
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- SSetstatement and proof · cited by 1,283
- SSet.N.toSstatement · cited by 171
- SSet.S.dimstatement · cited by 162
- SSet.Nstatement and proof · cited by 70
- SSet.Nonsingularstatement and proof · cited by 22
- SemiSimplexCategorystatement · cited by 15
- SSet.N.monoOfLEstatement · cited by 9
- SSet.N.toSemiSimplexCategorystatement and proof · cited by 3
- SemiSimplexCategory.homOfMonostatement · cited by 3
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