Theorems · Theorem · commutative algebra
ValuationSubring.zero_mem
∀ {K : Type u} [inst : Field K] (A : ValuationSubring K), 0 ∈ A- Cited by
- 2 results in Mathlib
- Foundations
- Depth 51 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.
Cites4
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
- ValuationSubringstatement and proof · cited by 187
- ValuationSubring.toSubringproof · cited by 32
- Subring.zero_memproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ValuationSubring.isMax_toLocalSubringproof · cited by 2
- ValuationSubring.ofPrime_idealOfLEproof · cited by 2