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Theorems · Theorem · commutative algebra

ValuativeRel.vle_of_veq_of_vle

∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y z : R}, x =ᵥ y → y ≤ᵥ z → x ≤ᵥ z
Defined in
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
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Foundations
Depth 5 from the axioms · uses no axioms
Assumes
SemiringValuativeRel
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Semiring · cited by 13802SemiringValuativeRel · cited by 241ValuativeRelValuativeRel.vle · cited by 84ValuativeRel.vleValuativeRel.veq · cited by 27ValuativeRel.veqValuativeRel.vle.trans · cited by 4vle.transValuativeRel.vle_of_veq_of_vleCITED BYCITES

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