Theorems · Theorem · order theory
oneLePart_of_one_le
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : DivInvMonoid α] {a : α}, 1 ≤ a → a⁺ᵐ = aAlias of the reverse direction of oneLePart_eq_self.
- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- LatticeDivInvMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Latticestatement and proof · cited by 916
- DivInvMonoidstatement and proof · cited by 103
- OneLePart.oneLePartstatement · cited by 40
- oneLePart_eq_selfproof · cited by 3
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