Theorems · Theorem · general topology
continuous_snd
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y], Continuous Prod.snd- Defined in
- Mathlib.Topology.Constructions.SumProd
- Cited by
- 91 results in Mathlib
- Foundations
- Depth 72 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
- Continuousstatement · cited by 2,592
- continuous_idproof · cited by 192
- continuous_prodMkproof · cited by 5
Cited by96
Results whose statement or proof uses this declaration.
- Continuous.sndproof · cited by 77
- IsOpen.prodproof · cited by 22
- continuous_swapproof · cited by 20
- continuousAt_sndproof · cited by 12
- IsBoundedBilinearMap.continuousproof · cited by 11
- Convex.closureproof · cited by 9
- IsBoundedBilinearMap.hasStrictFDerivAtproof · cited by 7
- continuousOn_sndproof · cited by 6
- IsClosed.vadd_left_of_isCompactproof · cited by 5
- ContinuousOn.sndproof · cited by 5
- IsClosed.smul_left_of_isCompactproof · cited by 5
- continuousAt_cpowproof · cited by 4