Theorems · Theorem · general topology
Continuous.prodMk_right
∀ {X : Type u} {Y : Type v} [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] (x : X),
Continuous fun y => (x, y)- Defined in
- Mathlib.Topology.Constructions.SumProd
- Cited by
- 32 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.
- TopologicalSpacestatement and proof · cited by 24,529
- Continuousstatement · cited by 2,592
- continuous_id'proof · cited by 295
- continuous_constproof · cited by 278
- Continuous.prodMkproof · cited by 127
Cited by34
Results whose statement or proof uses this declaration.
- ENNReal.continuous_sub_leftproof · cited by 5
- UniformSpace.isOpen_ballproof · cited by 4
- IsOpen.relImageproof · cited by 3
- Continuous.uncurry_leftproof · cited by 3
- continuousOn_integral_bilinear_of_locally_integrable_of_compact_supportproof · cited by 2
- cfcₙ_setIntegralproof · cited by 2
- MeasureTheory.continuousOn_convolution_right_with_paramproof · cited by 2
- isEmbedding_prodMkRightproof · cited by 2
- integrableOn_cfcₙproof · cited by 2
- IsLocalHomeomorph.exists_lift_nhdsproof · cited by 1
- LinearMap.IsContPerfPair.extproof · cited by 1
- MeasureTheory.hasFDerivAt_convolution_right_with_paramproof · cited by 1