Theorems · Theorem · logic and foundations
FirstOrder.Field.ACF_categorical
∀ {p : ℕ} (κ : Cardinal.{u_2}), Cardinal.aleph0 < κ → κ.Categorical (FirstOrder.Language.Theory.ACF p)The Theory Theory.ACF p is κ-categorical whenever κ is an uncountable cardinal.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fieldproof · cited by 7,404
- Equiv.symmproof · cited by 3,681
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkproof · cited by 942
- FirstOrder.Language.Structureproof · cited by 775
- Cardinal.aleph0statement and proof · cited by 521
- CharPproof · cited by 478
- IsAlgClosedproof · cited by 150
- FirstOrder.Language.Theory.Modelproof · cited by 67
- FirstOrder.Language.Theory.ModelTypeproof · cited by 62
- FirstOrder.Language.Theory.ModelType.Carrierproof · cited by 59
Cited by1
Results whose statement or proof uses this declaration.
- FirstOrder.Field.ACF_isCompleteproof · cited by 3