Equiv.Set.unionSumInter

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

If s is a set with decidable membership, then the sum of s ∪ t and s ∩ t is equivalent to s ⊕ t.

Defined in: Mathlib.Logic.Equiv.Set
Cited by: 1 results in Mathlib
Foundations: Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: DecidablePred

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