Theorems · Theorem · algebraic topology
SSet.Truncated.Edge.ext_iff
∀ {X : SSet.Truncated 2} {x₀ x₁ : X.obj (Opposite.op { obj := { len := 0 }, property := SSet.Truncated.Edge._proof_1 })}
{x y : SSet.Truncated.Edge x₀ x₁}, x = y ↔ x.edge = y.edge- Cited by
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- Foundations
- Depth 39 from the axioms · uses propext, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- Oppositestatement · cited by 8,081
- SimplexCategorystatement · cited by 2,204
- SimplexCategory.lenstatement · cited by 542
- SimplexCategory.Truncatedstatement · cited by 236
- SSet.Truncatedstatement and proof · cited by 214
- SSet.Truncated.Edgestatement and proof · cited by 81
- SSet.Truncated.Edge.edgestatement and proof · cited by 27
- SSet.Truncated.Edge.extproof · cited by 5
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