Theorems · Theorem · order theory
sup_eq_mul_oneLePart_div
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : CommGroup α] [MulLeftMono α] (a b : α), a ⊔ b = b * (a / 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
- Assumes
- LatticeCommGroupMulLeftMono
Around this declaration
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- CommGroupstatement and proof · cited by 990
- Latticestatement and proof · cited by 916
- MulLeftMonostatement and proof · cited by 410
- OneLePart.oneLePartstatement · cited by 40
- mul_div_cancelproof · cited by 9
- mul_supproof · cited by 6
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