Theorems · Theorem · commutative algebra
ValuativeRel.zero_vlt_one
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R], 0 <ᵥ 1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- SemiringValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.vltstatement · cited by 49
- ValuativeRel.not_vle_one_zeroproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ValuativeRel.posSubmonoidproof · cited by 45