Theorems · Theorem · commutative algebra
ValuationSubring.idealOfLE_ofPrime
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K) (P : Ideal ↥A) [inst_1 : P.IsPrime],
A.idealOfLE (A.ofPrime P) ⋯ = P- Cited by
- 0 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FieldIdeal.IsPrime
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Idealstatement and proof · cited by 4,748
- Ideal.IsPrimestatement and proof · cited by 827
- ValuationSubringstatement and proof · cited by 187
- Ideal.extproof · cited by 131
- ValuationSubring.ofPrimestatement and proof · cited by 10
- IsLocalization.AtPrime.to_map_mem_maximal_iffproof · cited by 9
- ValuationSubring.idealOfLEstatement · cited by 7
- ValuationSubring.le_ofPrimestatement · cited by 2
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