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 iAn 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
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by7
Results whose statement or proof uses this declaration.
- Quiver.symmetrifyCostarproof · cited by 2
- Quiver.symmetrifyStarproof · cited by 2
- Equiv.sigmaSumDistrib_applystatement and proof · cited by 2
- Prefunctor.symmetrifyCostarproof · cited by 1
- Prefunctor.symmetrifyStarproof · cited by 1
- Cardinal.sum_add_distribproof · cited by 1
- Equiv.sigmaSumDistrib_symm_applystatement and proof · cited by 0