Theorems · Theorem · order theory
sup_eq_add_posPart_sub
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : AddCommGroup α] [AddLeftMono α] (a b : α), a ⊔ b = 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.
- AddCommGroupstatement and proof · cited by 12,871
- add_zeroproof · cited by 2,707
- Latticestatement and proof · cited by 916
- AddLeftMonostatement and proof · cited by 687
- add_sub_cancelproof · cited by 195
- PosPart.posPartstatement · cited by 113
- add_supproof · cited by 6
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