Theorems · Theorem · logic and foundations
FirstOrder.Language.dlo_isComplete
FirstOrder.Language.order.dlo.IsComplete
The theory of dense linear orders is ℵ₀-complete.
- Defined in
- Mathlib.ModelTheory.Order
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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- 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.orderstatement and proof · cited by 14
- FirstOrder.Language.Theory.IsCompletestatement · cited by 11
- FirstOrder.Language.dlostatement and proof · cited by 8
- FirstOrder.Language.Theory.ModelType.ofproof · cited by 5
- Cardinal.Categorical.isCompleteproof · cited by 3
- FirstOrder.Language.aleph0_categorical_dloproof · cited by 1
- FirstOrder.Language.order.card_eq_oneproof · cited by 1
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