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Theorems · Theorem · logic and foundations

FirstOrder.Field.charP_of_model_fieldOfChar

∀ (p : ℕ) (K : Type u_1) [inst : Field K] [inst_1 : FirstOrder.Ring.CompatibleRing K]
  [h : K ⊨ FirstOrder.Language.Theory.fieldOfChar p], CharP K p
Defined in
Mathlib.ModelTheory.Algebra.Field.CharP
Cited by
2 results in Mathlib
Foundations
Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FieldFirstOrder.Ring.CompatibleRingFirstOrder.Language.Theory.Model
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Around this declaration

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FirstOrder.Field.finite_ACF_prime_not_realize_of_ACF_zero_realize · cited by 2Field.finite_ACF_prime_no…FirstOrder.Field.ACF_categorical · cited by 1Field.ACF_categoricalField · cited by 7404FieldCharP · cited by 478CharPFirstOrder.Language.Theory.Model · cited by 67Theory.ModelFirstOrder.Language.ring · cited by 36Language.ringFirstOrder.Ring.CompatibleRing · cited by 27Ring.CompatibleRingFirstOrder.Language.Theory.fieldOfChar · cited by 2Theory.fieldOfCharFirstOrder.Field.charP_iff_model_fieldOfChar · cited by 1Field.charP_iff_model_fie…Field.charP_of_model_fieldOfC…CITED BYCITES

Cites7

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Cited by2

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