Theorems · Theorem · order theory
posPart_pos
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : SubNegMonoid α] {a : α}, 0 < a → 0 < a⁺- Defined in
- Mathlib.Algebra.Order.Group.PosPart
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext
- Assumes
- LatticeSubNegMonoid
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LT.lt.leproof · cited by 2,189
- Latticestatement and proof · cited by 916
- PosPart.posPartstatement · cited by 113
- SubNegMonoidstatement and proof · cited by 79
- posPart_eq_selfproof · cited by 6
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