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Theorems · Theorem · general topology

IsClosed.relInv

∀ {α : Type ua} {β : Type ub} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {s : SetRel α β},
  IsClosed s → IsClosed s.inv
Defined in
Mathlib.Topology.UniformSpace.Basic
Cited by
2 results in Mathlib
Foundations
Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
TopologicalSpaceTopologicalSpace
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Around this declaration

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

IsClosed.relPreimage_of_finite · cited by 1IsClosed.relPreimage_of_f…IsClosed.relImage_of_isCompact · cited by 0IsClosed.relImage_of_isCo…TopologicalSpace · cited by 24529TopologicalSpaceIsClosed · cited by 1639IsClosedSetRel · cited by 581SetRelIsClosed.preimage · cited by 138IsClosed.preimageSetRel.inv · cited by 36SetRel.invcontinuous_swap · cited by 20continuous_swapIsClosed.relInvCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.