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Theorems · Theorem · commutative algebra

ValuativeRel.vlt_of_vlt_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
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
SemiringValuativeRel
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Around this declaration

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ValuativeRel.vlt.trans_vle · cited by 4vlt.trans_vleSemiring · cited by 13802SemiringValuativeRel · cited by 241ValuativeRelValuativeRel.vle · cited by 84ValuativeRel.vleValuativeRel.vlt · cited by 49ValuativeRel.vltValuativeRel.vle_trans · cited by 4ValuativeRel.vle_transValuativeRel.vlt_of_vlt_of_vleCITED BYCITES

Cites5

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Cited by1

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