Theorems · Theorem · general topology
IsOpen.relInv
∀ {α : Type ua} {β : Type ub} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {s : SetRel α β},
IsOpen s → IsOpen s.inv- Defined in
- Mathlib.Topology.UniformSpace.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- IsOpenstatement and proof · cited by 2,400
- SetRelstatement and proof · cited by 581
- IsOpen.preimageproof · cited by 147
- SetRel.invstatement · cited by 36
- continuous_swapproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- IsOpen.relPreimageproof · cited by 0