Theorems · Theorem · order theory
BooleanRing.sup_inf_self
∀ {α : Type u_1} [inst : BooleanRing α] (a b : α), a ⊔ a ⊓ b = a- Defined in
- Mathlib.Algebra.Ring.BooleanRing
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext
- Assumes
- BooleanRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- add_zeroproof · cited by 2,707
- mul_assocproof · cited by 1,667
- add_assocproof · cited by 746
- BooleanRingstatement and proof · cited by 38
- BooleanRing.mul_selfproof · cited by 7
- BooleanRing.add_selfproof · cited by 6
- BooleanRing.supstatement · cited by 5
- BooleanRing.infstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- BooleanRing.toBooleanAlgebraproof · cited by 0