Theorems · Theorem · commutative algebra
PreTilt.isDomain
∀ (K : Type u₁) [inst : Field K] (v : Valuation K NNReal) (O : Type u₂) [inst_1 : CommRing O] [inst_2 : Algebra O K], v.Integers O → ∀ (p : ℕ) [inst : Fact (Nat.Prime p)] [inst_3 : Fact ¬IsUnit ↑p], IsDomain (PreTilt O p)
- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- NNRealstatement and proof · cited by 4,310
- Factstatement and proof · cited by 2,726
- Nontrivialproof · cited by 2,416
- IsDomainstatement · cited by 2,196
- Nat.Primestatement and proof · cited by 2,059
- IsUnitstatement and proof · cited by 1,602
- Valuationstatement and proof · cited by 823
- NoZeroDivisorsproof · cited by 545
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