Theorems · Definition

Equiv.sigmaCongrRight

{α : Type u_3} → {β₁ : α → Type u_1} → {β₂ : α → Type u_2} → ((a : α) → β₁ a ≃ β₂ a) → (a : α) × β₁ a ≃ (a : α) × β₂ a

A family of equivalences Π a, β₁ a ≃ β₂ a generates an equivalence between Σ a, β₁ a and Σ a, β₂ a.

Defined in: Mathlib.Logic.Equiv.Defs
Cited by: 12 results in Mathlib
Foundations: Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound

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