Theorems · Theorem · general topology
continuousAt_snd
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] {p : X × Y},
ContinuousAt Prod.snd p- Defined in
- Mathlib.Topology.Constructions.SumProd
- Cited by
- 12 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.
Cites4
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
- ContinuousAtstatement · cited by 697
- Continuous.continuousAtproof · cited by 297
- continuous_sndproof · cited by 91
Cited by12
Results whose statement or proof uses this declaration.
- ContinuousAt.sndproof · cited by 9
- intervalIntegral.integral_hasStrictDerivAt_of_tendsto_ae_rightproof · cited by 3
- Filter.Eventually.prod_inr_nhdsproof · cited by 3
- map_snd_nhdsWithinproof · cited by 2
- exists_nhds_split_invproof · cited by 1
- map_snd_nhdsproof · cited by 1
- Filter.Tendsto.snd_nhdsproof · cited by 1
- ContinuousAt.snd'proof · cited by 1
- ContinuousAt.snd''proof · cited by 1
- ContinuousWithinAt.sndproof · cited by 1
- exists_nhds_half_negproof · cited by 1
- List.continuous_consproof · cited by 0