Mathlib Map

Theorems · Theorem · algebraic topology

SSet.Truncated.Path.ext

∀ {n : ℕ} {X : SSet.Truncated (n + 1)} {m : ℕ} {f g : X.Path m}, f.vertex = g.vertex → f.arrow = g.arrow → f = g
Defined in
Mathlib.AlgebraicTopology.SimplicialSet.Path
Cited by
4 results in Mathlib
Foundations
Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

SSet.Truncated.Path.ext' · cited by 6Path.ext'SSet.Truncated.spine_map_subinterval · cited by 2Truncated.spine_map_subin…SSet.Path.ext · cited by 2Path.extSSet.Truncated.Path.ext_iff · cited by 0Path.ext_iffCategoryTheory.Functor.obj · cited by 19642Functor.objOpposite · cited by 8081OppositeSimplexCategory · cited by 2204SimplexCategorySimplexCategory.len · cited by 542SimplexCategory.lenSimplexCategory.Truncated · cited by 236SimplexCategory.TruncatedSSet.Truncated · cited by 214SSet.TruncatedSSet.Truncated.Path · cited by 37Truncated.PathSSet.Truncated.Path.arrow · cited by 20Path.arrowSSet.Truncated.Path.vertex · cited by 16Path.vertexSSet.Truncated.Path₁.ext · cited by 2Path₁.extPath.extCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.