Theorems · Theorem · commutative algebra
ValuationSubring.ofPrime_idealOfLE
∀ {K : Type u} [inst : Field K] (R S : ValuationSubring K) (h : R ≤ S), R.ofPrime (R.idealOfLE S h) = S- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Field
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites34
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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Cited by2
Results whose statement or proof uses this declaration.
- ValuationSubring.ofPrime_topproof · cited by 1
- ValuationSubring.ofPrime_botproof · cited by 1