Theorems · Theorem · commutative algebra
ValuativeRel.veq.not_vgt
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y : R}, x =ᵥ y → ¬y <ᵥ xAlias of ValuativeRel.not_vgt_of_veq.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- ValuativeRelstatement · cited by 241
- ValuativeRel.vltstatement · cited by 49
- ValuativeRel.veqstatement · cited by 27
- ValuativeRel.not_vgt_of_veqproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.