Theorems · Theorem · logic and foundations
Cardinal.empty_infinite_Theory_isComplete
FirstOrder.Language.empty.infiniteTheory.IsComplete
- Defined in
- Mathlib.ModelTheory.Satisfiability
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_rflproof · cited by 1,558
- Cardinal.liftproof · cited by 583
- Cardinal.aleph0proof · cited by 521
- Cardinal.lift_idproof · cited by 163
- FirstOrder.Language.Theory.ModelTypeproof · cited by 62
- FirstOrder.Language.Theory.IsCompletestatement · cited by 11
- FirstOrder.Language.emptystatement and proof · cited by 8
- FirstOrder.Language.Theory.Model.bundledproof · cited by 5
- Cardinal.Categorical.isCompleteproof · cited by 3
- FirstOrder.Language.model_infiniteTheory_iffproof · cited by 2
- FirstOrder.Language.infiniteTheorystatement and proof · cited by 2
- Cardinal.empty_theory_categoricalproof · cited by 1
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