Theorems · Theorem
Set.elem_mem
∀ {σ : Type u_1} {α : Type u_2} [inst : Membership σ α] {S : α}, ↑{x | x ∈ S} = { x // x ∈ S }- Defined in
- Mathlib.Data.Set.CoeSort
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Membership
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- Set.Elemstatement · cited by 7,166
- Set.ofPredstatement · cited by 6,101
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