Theorems · Theorem

Set.ext

∀ {α : Type u} {a b : Set α}, (∀ (x : α), x ∈ a ↔ x ∈ b) → a = b

Defined in: Mathlib.Data.Set.Defs
Cited by: 2,266 results in Mathlib
Foundations: Depth 5 from the axioms, rests on 11 definitions · uses propext, Quot.sound

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