Theorems · Theorem · commutative algebra
ValuationSubring.idealOfLE_top
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K), A.idealOfLE ⊤ ⋯ = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- Fieldstatement and proof · cited by 7,404
- Idealstatement and proof · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- Ideal.comapproof · cited by 443
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.idealOfLEstatement · cited by 7
- ValuationSubring.inclusionproof · cited by 6
- Ideal.comap_bot_of_injectiveproof · cited by 5
- IsLocalRing.maximalIdeal_eq_botproof · cited by 3
- ValuationSubring.le_topstatement and proof · cited by 2
- Subring.inclusion_injectiveproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.