Mathlib Map

Theorems · Theorem

Function.Bijective.prodMap

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {δ : Type u_4} {f : α → γ} {g : β → δ},
  Function.Bijective f → Function.Bijective g → Function.Bijective (Prod.map f g)
Defined in
Mathlib.Data.Prod.Basic
Cited by
1 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsHomeomorph.prodMap · cited by 0IsHomeomorph.prodMapFunction.Bijective · cited by 863Function.BijectiveFunction.Injective.prodMap · cited by 9Injective.prodMapFunction.Surjective.prodMap · cited by 8Surjective.prodMapBijective.prodMapCITED BYCITES

Cites3

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.