Theorems · Theorem · commutative algebra
IsValuativeTopology.v_eq_valuation
∀ {R : Type u_2} [inst : Ring R] [inst_1 : ValuativeRel R] [inst_2 : UniformSpace R] [inst_3 : IsUniformAddGroup R]
[inst_4 : IsValuativeTopology R], Valued.v = ValuativeRel.valuation R- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- UniformSpacestatement and proof · cited by 2,040
- Valuationstatement · cited by 823
- IsUniformAddGroupstatement and proof · cited by 342
- ValuativeRelstatement and proof · cited by 241
- Valued.vstatement · cited by 163
- ValuativeRel.ValueGroupWithZerostatement · cited by 86
- IsValuativeTopologystatement and proof · cited by 47
- ValuativeRel.valuationstatement · cited by 42
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