Theorems · Theorem · order theory
mulPosReflectLE_iff
∀ (α : Type u_1) [inst : Mul α] [inst_1 : Zero α] [inst_2 : Preorder α],
MulPosReflectLE α ↔ ContravariantClass { x // 0 < x } α (fun x y => y * ↑x) fun x1 x2 => x1 ≤ x2- Defined in
- Mathlib.Algebra.Order.GroupWithZero.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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- Preorderstatement and proof · cited by 7,952
- MulPosReflectLEstatement and proof · cited by 17
- ContravariantClassstatement and proof · cited by 15
- MulPosReflectLE.casesOnproof · cited by 1
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