Theorems · Theorem · algebraic topology
SSet.Edge.CompStruct.exists_of_simplex
∀ {X : SSet} (s : X.obj (Opposite.op { len := 2 })), ∃ x₀ x₁ x₂ e₀₁ e₁₂ e₀₂ h, h.simplex = s- Cited by
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- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, 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
- SSetstatement and proof · cited by 1,283
- SSet.Edgestatement · cited by 55
- SSet.Edge.CompStructstatement · cited by 25
- SSet.Edge.CompStruct.simplexstatement · cited by 13
- SSet.Truncated.Edge.CompStruct.exists_of_simplexproof · cited by 1
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