Theorems · Theorem · order theory
negPart_max
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : AddGroup α] [AddLeftMono α] [AddRightMono α] (a b : α),
(a ⊔ b)⁻ = a⁻ ⊓ b⁻- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddLeftMonostatement and proof · cited by 687
- AddRightMonostatement and proof · cited by 367
- DistribLatticestatement and proof · cited by 150
- NegPart.negPartstatement · cited by 107
- sup_inf_rightproof · cited by 22
- neg_supproof · cited by 3
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