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Theorems · Theorem · algebraic topology

FundamentalGroupoid.eqToHom_eq

∀ {X : Type u_1} [inst : TopologicalSpace X] {x₀ x₁ : X} (h : x₀ = x₁),
  CategoryTheory.eqToHom ⋯ = (Path.Homotopic.Quotient.refl x₁).cast h ⋯
Defined in
Mathlib.AlgebraicTopology.FundamentalGroupoid.Basic
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Foundations
Depth 135 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Quiver.Hom · cited by 32603Quiver.HomTopologicalSpace · cited by 24529TopologicalSpaceCategoryTheory.eqToHom · cited by 860CategoryTheory.eqToHomFundamentalGroupoid · cited by 60FundamentalGroupoidPath.Homotopic.Quotient.cast · cited by 16Quotient.castPath.Homotopic.Quotient.refl · cited by 9Quotient.reflFundamentalGroupoid.eqToHom_eqCITED BYCITES

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