Theorems · Theorem · commutative algebra
ValuativeRel.IsDiscrete.of_compatible_withZeroMulInt
∀ {R : Type u_1} [inst : Ring R] [inst_1 : ValuativeRel R] (v : Valuation R (WithZero (Multiplicative ℤ)))
[v.Compatible], ValuativeRel.IsDiscrete R- Cited by
- 0 results in Mathlib
- Foundations
- Depth 203 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites27
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
- LT.lt.ne'proof · cited by 1,417
- Multiplicativestatement and proof · cited by 875
- Valuationstatement and proof · cited by 823
- Eq.leproof · cited by 605
- zero_lt_oneproof · cited by 598
- WithZerostatement and proof · cited by 586
- DenselyOrderedproof · cited by 471
- ValuativeRelstatement and proof · cited by 241
- Units.mk0proof · cited by 181
- ValuativeRel.ValueGroupWithZeroproof · cited by 86
- Valuation.Compatiblestatement and proof · cited by 71
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