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Theorems · Definition · algebraic topology

SimplyConnectedSpace.casesOn

{X : Type u_3} →
  [inst : TopologicalSpace X] →
    {motive : SimplyConnectedSpace X → Sort u} →
      (t : SimplyConnectedSpace X) →
        ((equiv_unit : Nonempty (FundamentalGroupoid X ≌ CategoryTheory.Discrete Unit)) → motive ⋯) → motive t
Defined in
Mathlib.AlgebraicTopology.FundamentalGroupoid.SimplyConnected
Cited by
1 results in Mathlib
Foundations
Depth 137 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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simplyConnectedSpace_iff · cited by 1simplyConnectedSpace_iffTopologicalSpace · cited by 24529TopologicalSpaceCategoryTheory.Discrete · cited by 2447CategoryTheory.DiscreteCategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceFundamentalGroupoid · cited by 60FundamentalGroupoidSimplyConnectedSpace · cited by 19SimplyConnectedSpaceSimplyConnectedSpace.casesOnCITED BYCITES

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