Theorems · Theorem · commutative algebra
ValuativeRel.veq_mul_comm
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] (x y : R), x * y =ᵥ y * x- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- SemiringValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.veqstatement · cited by 27
- ValuativeRel.vle_mul_commproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- ValuativeRel.mul_vle_mul_rightproof · cited by 5
- ValuativeRel.mul_vle_mul_iff_rightproof · cited by 2
- ValuativeRel.veq_mul_right_commproof · cited by 1
- ValuativeRel.zero_vlt_mulproof · cited by 0