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Theorems · Definition · logic and foundations

Equiv.Set.union

{α : Type u_3} → {s t : Set α} → [DecidablePred fun x => x ∈ s] → Disjoint s t → ↑(s ∪ t) ≃ ↑s ⊕ ↑t

If sets s and t are disjoint, then s ∪ t is equivalent to s ⊕ t.

Defined in
Mathlib.Logic.Equiv.Set
Cited by
10 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidablePred

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