Theorems · Theorem · logic and foundations
FirstOrder.Field.charP_iff_model_fieldOfChar
∀ {p : ℕ} {K : Type u_1} [inst : Field K] [inst_1 : FirstOrder.Ring.CompatibleRing K],
K ⊨ FirstOrder.Language.Theory.fieldOfChar p ↔ CharP K p- Defined in
- Mathlib.ModelTheory.Algebra.Field.CharP
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
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
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Bot.botproof · cited by 4,720
- Nontrivialproof · cited by 2,416
- Nat.Primeproof · cited by 2,059
- CharZeroproof · cited by 932
- NonAssocSemiringproof · cited by 805
- CharPstatement and proof · cited by 478
- FirstOrder.Language.Sentenceproof · cited by 127
- FirstOrder.Language.Formula.Realizeproof · cited by 81
- FirstOrder.Language.Theory.Modelstatement and proof · cited by 67
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Field.charP_of_model_fieldOfCharproof · cited by 2