Theorems · Theorem · order theory
posPart_max
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : SubNegMonoid α] (a b : α), (a ⊔ b)⁺ = a⁺ ⊔ b⁺- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- LatticeSubNegMonoid
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Cites7
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- Latticestatement and proof · cited by 916
- le_sup_rightproof · cited by 242
- sup_of_le_leftproof · cited by 218
- sup_of_le_rightproof · cited by 143
- PosPart.posPartstatement · cited by 113
- SubNegMonoidstatement and proof · cited by 79
- sup_sup_distrib_rightproof · cited by 6
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