Theorems · Theorem · commutative algebra
ValuativeRel.vlt_mul_right_iff
Deprecated since 2026-01-06Use ValuativeRel.mul_vlt_mul_iff_left instead.
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y z : R}, 0 <ᵥ z → (x * z <ᵥ y * z ↔ x <ᵥ y)Alias of ValuativeRel.mul_vlt_mul_iff_left.
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- Foundations
- Depth 15 from the axioms · uses no axioms
- Assumes
- SemiringValuativeRel
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- Semiringstatement · cited by 13,802
- ValuativeRelstatement · cited by 241
- ValuativeRel.vltstatement · cited by 49
- ValuativeRel.mul_vlt_mul_iff_leftproof · cited by 2
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