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Theorems · Theorem · algebraic topology

Path.Homotopic.Quotient.mk_trans

∀ {X : Type u} [inst : TopologicalSpace X] {x₀ x₁ x₂ : X} (P₀ : Path x₀ x₁) (P₁ : Path x₁ x₂),
  Path.Homotopic.Quotient.mk (P₀.trans P₁) = (Path.Homotopic.Quotient.mk P₀).trans (Path.Homotopic.Quotient.mk P₁)
Defined in
Mathlib.Topology.Homotopy.Path
Cited by
1 results in Mathlib
Foundations
Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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Path.Homotopic.comp_pi_eq_pi_comp · cited by 0Homotopic.comp_pi_eq_pi_c…TopologicalSpace · cited by 24529TopologicalSpacePath · cited by 318PathPath.Homotopic.Quotient · cited by 55Homotopic.QuotientPath.trans · cited by 54Path.transPath.Homotopic.Quotient.mk · cited by 28Quotient.mkPath.Homotopic.Quotient.trans · cited by 12Quotient.transQuotient.mk_transCITED BYCITES

Cites6

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Cited by1

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