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Theorems · Definition · algebraic topology

Path.Homotopic.projLeft

{α : Type u_1} →
  {β : Type u_2} →
    [inst : TopologicalSpace α] →
      [inst_1 : TopologicalSpace β] →
        {c₁ c₂ : α × β} → Path.Homotopic.Quotient c₁ c₂ → Path.Homotopic.Quotient c₁.1 c₂.1

Abbreviation for projection onto the left coordinate of a path class.

Defined in
Mathlib.Topology.Homotopy.Product
Cited by
3 results in Mathlib
Foundations
Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FundamentalGroupoidFunctor.projLeft_map · cited by 0FundamentalGroupoidFuncto…Path.Homotopic.prod_projLeft_projRight · cited by 0Homotopic.prod_projLeft_p…Path.Homotopic.projLeft_prod · cited by 0Homotopic.projLeft_prodTopologicalSpace · cited by 24529TopologicalSpacecontinuous_fst · cited by 103continuous_fstPath.Homotopic.Quotient · cited by 55Homotopic.QuotientPath.Homotopic.Quotient.map · cited by 19Quotient.mapHomotopic.projLeftCITED BYCITES

Cites4

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Cited by3

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