Theorems · Theorem · order theory
BooleanSubalgebra.mem_carrier
∀ {α : Type u_2} [inst : BooleanAlgebra α] {L : BooleanSubalgebra α} {a : α}, a ∈ L.carrier ↔ a ∈ L- Defined in
- Mathlib.Order.BooleanSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- BooleanAlgebrastatement and proof · cited by 300
- BooleanSubalgebrastatement and proof · cited by 104
- Sublattice.carrierstatement · cited by 23
- BooleanSubalgebra.toSublatticestatement · cited by 7
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