Theorems · Theorem · commutative algebra
ValuativeRel.vlt.vle
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y : R}, x <ᵥ y → x ≤ᵥ y- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- 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 and proof · cited by 13,802
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.vlestatement · cited by 84
- ValuativeRel.vltstatement and proof · cited by 49
- ValuativeRel.vle_totalproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ValuativeRel.vlt.transproof · cited by 0
- ValuativeRel.mul_vlt_mulproof · cited by 0