Theorems · Theorem · commutative algebra
ValuativeRel.veq_zero_iff
∀ {K : Type u_2} [inst : DivisionRing K] [inst_1 : ValuativeRel K] {a : K}, 0 =ᵥ a ↔ 0 = a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingValuativeRel
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivisionRingstatement and proof · cited by 1,062
- ValuativeRelstatement and proof · cited by 241
- ValuativeRel.veqstatement and proof · cited by 27
- ValuativeRel.veq_commproof · cited by 2
- ValuativeRel.zero_veq_iffproof · cited by 1
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