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Theorems · Definition · algebraic topology

SSet.StrictSegal.spineToDiagonal

{X : SSet} → X.StrictSegal → {n : ℕ} → X.Path n → X.obj (Opposite.op { len := 1 })

In the presence of the strict Segal condition, a path of length n can be "composed" by taking the diagonal edge of the resulting n-simplex.

Defined in
Mathlib.AlgebraicTopology.SimplicialSet.StrictSegal
Cited by
3 results in Mathlib
Foundations
Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound

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