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Theorems · Definition · algebraic topology

Path.Homotopic.proj

{ι : Type u_1} →
  {X : ι → Type u_2} →
    [inst : (i : ι) → TopologicalSpace (X i)] →
      {as bs : (i : ι) → X i} → (i : ι) → Path.Homotopic.Quotient as bs → Path.Homotopic.Quotient (as i) (bs i)

Abbreviation for projection onto the ith coordinate.

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
TopologicalSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FundamentalGroupoidFunctor.proj_map · cited by 0FundamentalGroupoidFuncto…Path.Homotopic.pi_proj · cited by 0Homotopic.pi_projPath.Homotopic.proj_pi · cited by 0Homotopic.proj_piTopologicalSpace · cited by 24529TopologicalSpacecontinuous_apply · cited by 120continuous_applyPath.Homotopic.Quotient · cited by 55Homotopic.QuotientPath.Homotopic.Quotient.map · cited by 19Quotient.mapHomotopic.projCITED BYCITES

Cites4

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Cited by3

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