Theorems · Theorem · commutative algebra
ValuativeRel.vlt.trans
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y z : R}, x <ᵥ y → y <ᵥ z → x <ᵥ z- Cited by
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- Foundations
- Depth 8 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.vltstatement and proof · cited by 49
- ValuativeRel.vlt.trans_vleproof · cited by 4
- ValuativeRel.vlt.vleproof · cited by 2
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