Theorems · Theorem · commutative algebra
ValuativeRel.ValueGroupWithZero.mk_zero
∀ {R : Type u_1} [inst : Semiring R] [inst_1 : ValuativeRel R] (x : ↥(ValuativeRel.posSubmonoid R)),
ValuativeRel.ValueGroupWithZero.mk 0 x = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 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.
Cites8
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.ValueGroupWithZerostatement · cited by 86
- ValuativeRel.posSubmonoidstatement and proof · cited by 45
- ValuativeRel.ValueGroupWithZero.mkstatement · cited by 25
- ValuativeRel.ValueGroupWithZero.mk_eq_zeroproof · cited by 2
- ValuativeRel.vle.rflproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ValuativeRel.ValueGroupWithZero.mk_posproof · cited by 0