Theorems · Theorem · order theory
leOnePart_max
∀ {α : Type u_1} [inst : DistribLattice α] [inst_1 : Group α] [MulLeftMono α] [MulRightMono α] (a b : α),
(a ⊔ b)⁻ᵐ = a⁻ᵐ ⊓ b⁻ᵐ- 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.
- Groupstatement and proof · cited by 6,238
- MulLeftMonostatement and proof · cited by 410
- MulRightMonostatement and proof · cited by 263
- DistribLatticestatement and proof · cited by 150
- LeOnePart.leOnePartstatement · cited by 41
- sup_inf_rightproof · cited by 22
- inv_supproof · cited by 3
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