Theorems · Theorem · general topology
continuousOn_snd
∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] {s : Set (α × β)},
ContinuousOn Prod.snd s- Defined in
- Mathlib.Topology.ContinuousOn
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- ContinuousOnstatement · cited by 1,411
- Continuous.continuousOnproof · cited by 311
- continuous_sndproof · cited by 91
Cited by6
Results whose statement or proof uses this declaration.
- Complex.continuousOn_norm_circleTransformBoundingFunctionproof · cited by 1
- IsClosed.epigraphproof · cited by 1
- Complex.continuousOn_prod_circle_transform_functionproof · cited by 1
- ContinuousOn.comp_fract''proof · cited by 0
- continuousOn_divproof · cited by 0
- IsClosed.hypographproof · cited by 0