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Theorems · Definition · logic and foundations

Equiv.sigmaSumDistrib

{ι : Type u_11} → (α : ι → Type u_9) → (β : ι → Type u_10) → (i : ι) × (α i ⊕ β i) ≃ (i : ι) × α i ⊕ (i : ι) × β i

An indexed sum of disjoint sums of types is equivalent to the sum of the indexed sums. Compare with Equiv.sumSigmaDistrib which is indexed by sums.

Defined in
Mathlib.Logic.Equiv.Sum
Cited by
5 results in Mathlib
Foundations
Depth 10 from the axioms · uses no axioms

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