Theorems · Definition · commutative algebra
ValuativeRel.valueSetoid
(R : Type u_1) → [inst : Semiring R] → [inst_1 : ValuativeRel R] → Setoid (R × ↥(ValuativeRel.posSubmonoid R))
The setoid used to construct ValueGroupWithZero R.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringValuativeRel
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Submonoidstatement · cited by 3,086
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.vleproof · cited by 84
- ValuativeRel.posSubmonoidstatement and proof · cited by 45
Cited by3
Results whose statement or proof uses this declaration.
- ValuativeRel.ValueGroupWithZeroproof · cited by 86
- ValuativeRel.ValueGroupWithZero.mkproof · cited by 25
- ValuativeRel.ValueGroupWithZero.indproof · cited by 6