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Theorems · Theorem · commutative algebra

ValuativeRel.vle_add

∀ {R : Type u_1} {inst : Semiring R} [self : ValuativeRel R] {x y z : R}, x ≤ᵥ z → y ≤ᵥ z → x + y ≤ᵥ z
Defined in
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
Cited by
1 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
ValuativeRel
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ValuativeRel.vle_add_cases · cited by 0ValuativeRel.vle_add_casesSemiring · cited by 13802SemiringValuativeRel · cited by 241ValuativeRelValuativeRel.vle · cited by 84ValuativeRel.vleValuativeRel.vle_addCITED BYCITES

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Cited by1

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