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Theorems · Theorem · commutative algebra

ValuationSubring.ofPrime.congr_simp

∀ {K : Type u} [inst : Field K] (A : ValuationSubring K) (P P_1 : Ideal ↥A) (e_P : P = P_1) [inst_1 : P.IsPrime],
  A.ofPrime P = A.ofPrime P_1
Defined in
Mathlib.RingTheory.Valuation.ValuationSubring
Cited by
1 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldIdeal.IsPrime
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Around this declaration

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ValuationSubring.ofPrime_bot · cited by 1ValuationSubring.ofPrime_…Field · cited by 7404FieldIdeal · cited by 4748IdealIdeal.IsPrime · cited by 827Ideal.IsPrimeValuationSubring · cited by 187ValuationSubringValuationSubring.ofPrime · cited by 10ValuationSubring.ofPrimeofPrime.congr_simpCITED BYCITES

Cites5

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Cited by1

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