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Theorems · Theorem · general topology

TopologicalSpace.Fiber.sigmaIsoHom_apply

∀ {S : Type u_1} {Y : Type u_2} (f : S → Y) [inst : TopologicalSpace S] (x : (x : Function.Fiber f) × ↑↑x),
  (TopologicalSpace.Fiber.sigmaIsoHom f) x =
    match x with
    | ⟨a, x⟩ => ↑x
Defined in
Mathlib.Topology.FiberPartition
Cited by
1 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpace
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Around this declaration

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

TopologicalSpace.Fiber.sigmaIsoHom_inj · cited by 0Fiber.sigmaIsoHom_injDFunLike.coe · cited by 62936DFunLike.coeSet · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceSet.Elem · cited by 7166Set.ElemSet.preimage · cited by 4946Set.preimageSet.range · cited by 4705Set.rangeContinuousMap · cited by 2491ContinuousMapFunction.Fiber · cited by 18Function.FiberTopologicalSpace.Fiber.sigmaIsoHom · cited by 3Fiber.sigmaIsoHomFiber.sigmaIsoHom_applyCITED BYCITES

Cites9

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Cited by1

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