Theorems · Theorem · order theory
BooleanSubalgebra.coe_eq_univ
∀ {α : Type u_2} [inst : BooleanAlgebra α] {L : BooleanSubalgebra α}, ↑L = Set.univ ↔ L = ⊤- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Top.topstatement and proof · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- Set.univstatement · cited by 3,945
- BooleanAlgebrastatement and proof · cited by 300
- BooleanSubalgebrastatement and proof · cited by 104
- BooleanSubalgebra.coe_injproof · cited by 1
- BooleanSubalgebra.coe_topproof · cited by 1
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