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Theorems · Theorem · commutative algebra

ValuativeRel.veq.vge

∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] {x y : R}, x =ᵥ y → y ≤ᵥ x

Alias of ValuativeRel.vge_of_veq.

Defined in
Mathlib.RingTheory.Valuation.ValuativeRel.Basic
Cited by
2 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
SemiringValuativeRel
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

ValuativeRel.mul_veq_mul · cited by 2ValuativeRel.mul_veq_mulValuativeRel.not_vlt_of_veq · cited by 1ValuativeRel.not_vlt_of_v…Semiring · cited by 13802SemiringValuativeRel · cited by 241ValuativeRelValuativeRel.vle · cited by 84ValuativeRel.vleValuativeRel.veq · cited by 27ValuativeRel.veqValuativeRel.vge_of_veq · cited by 1ValuativeRel.vge_of_veqveq.vgeCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.