Theorems · Theorem · commutative algebra
ValuativeRel.vlt.not_vle
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y : R}, y <ᵥ x → ¬x ≤ᵥ yAlias of the reverse direction of ValuativeRel.not_vle.
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- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- SemiringValuativeRel
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.vlestatement · cited by 84
- ValuativeRel.vltstatement · cited by 49
- ValuativeRel.not_vleproof · cited by 4
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