Theorems · Definition · logic and foundations
FirstOrder.Field.eqZero
ℕ → FirstOrder.Language.ring.Sentence
For a given natural number n, eqZero n is the sentence in the language of rings
saying that n is zero.
- Defined in
- Mathlib.ModelTheory.Algebra.Field.CharP
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- FirstOrder.Language.Sentencestatement · cited by 127
- FirstOrder.Language.ringstatement · cited by 36
- FirstOrder.Language.Term.equalproof · cited by 14
- FirstOrder.Ring.termOfFreeCommRingproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- FirstOrder.Field.finite_ACF_prime_not_realize_of_ACF_zero_realizeproof · cited by 2
- FirstOrder.Language.Theory.fieldOfCharproof · cited by 2
- FirstOrder.Field.charP_iff_model_fieldOfCharproof · cited by 1
- FirstOrder.Field.realize_eqZerostatement · cited by 0