Theorems · Definition · algebraic topology

SSet.Edge.CompStruct.ofTruncated

{X : SSet} →
  {x₀ x₁ x₂ : X.obj (Opposite.op { len := 0 })} →
    {e₀₁ : SSet.Edge x₀ x₁} →
      {e₁₂ : SSet.Edge x₁ x₂} →
        {e₀₂ : SSet.Edge x₀ x₂} → e₀₁.toTruncated.CompStruct e₁₂.toTruncated e₀₂.toTruncated → e₀₁.CompStruct e₁₂ e₀₂

Constructor for SSet.Edge.CompStruct which takes as an input a term in the definitionally equal type SSet.Truncated.Edge.CompStruct for the 2-truncation of the simplicial set. (This definition is made to contain abuse of defeq in other definitions.)

Defined in

Mathlib.AlgebraicTopology.SimplicialSet.CompStruct

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound