CompleteBooleanAlgebra.toCompleteAtomicBooleanAlgebra

{α : Type u_4} → [inst : CompleteBooleanAlgebra α] → [IsAtomic α] → CompleteAtomicBooleanAlgebra α

Every atomic complete Boolean algebra is completely atomic. This is not made an instance to avoid typeclass loops.

Defined in: Mathlib.Order.Atoms
Cited by: 0 results in Mathlib
Foundations: Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CompleteBooleanAlgebra IsAtomic

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.