Theorems · Theorem · measure theory
MeasurableEmbedding.prodMk_left
∀ {α : Type u_1} [inst : MeasurableSpace α] {β : Type u_3} {γ : Type u_4} [MeasurableSingletonClass α]
{mβ : MeasurableSpace β} {mγ : MeasurableSpace γ} (x : α) {f : γ → β},
MeasurableEmbedding f → MeasurableEmbedding fun y => (x, f y)- Cited by
- 2 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.imageproof · cited by 5,609
- MeasurableSetproof · cited by 3,075
- Set.extproof · cited by 2,266
- SProd.sprodproof · cited by 1,750
- MeasurableSingletonClassstatement and proof · cited by 230
- MeasurableEmbeddingstatement and proof · cited by 170
- measurable_constproof · cited by 156
- Measurable.prodMkproof · cited by 115
- MeasurableSet.prodproof · cited by 56
- MeasurableEmbedding.injectiveproof · cited by 35
Cited by2
Results whose statement or proof uses this declaration.
- measurableEmbedding_prodMk_leftproof · cited by 2
- MeasurableEmbedding.prodMk_rightproof · cited by 1