Theorems · Theorem · order theory
isAtom_compl
∀ {α : Type u_2} [inst : BooleanAlgebra α] {a : α}, IsAtom aᶜ ↔ IsCoatom a- Defined in
- Mathlib.Order.Atoms
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BooleanAlgebra
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Compl.complstatement · cited by 2,925
- BooleanAlgebrastatement and proof · cited by 300
- IsAtomstatement · cited by 130
- IsCoatomstatement · cited by 114
- IsCompl.symmproof · cited by 80
- isCompl_complproof · cited by 21
- IsCompl.isAtom_iff_isCoatomproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- IsAtom.of_complproof · cited by 0
- IsCoatom.complproof · cited by 0