Theorems · Theorem
Equiv.sigmaCongrRight_apply
∀ {α : Type u_3} {β₁ : α → Type u_1} {β₂ : α → Type u_2} (F : (a : α) → β₁ a ≃ β₂ a) (a : (a : α) × β₁ a),
(Equiv.sigmaCongrRight F) a = ⟨a.fst, (F a.fst) a.snd⟩- Defined in
- Mathlib.Logic.Equiv.Defs
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.sigmaCongrRightstatement and proof · cited by 12
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.Perm.sigmaCongrRightHom_injectiveproof · cited by 1
- Finpartition.exists_enumerationproof · cited by 1
- Equiv.sigmaEquivProd_sigmaCongrRightproof · cited by 0
- Equiv.sigmaCongrRight_sigmaEquivProdproof · cited by 0