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Theorems · Theorem · logic and foundations

FirstOrder.Language.aleph0_categorical_dlo

Cardinal.aleph0.Categorical FirstOrder.Language.order.dlo

The theory of dense linear orders is ℵ₀-categorical.

Defined in
Mathlib.ModelTheory.Order
Cited by
1 results in Mathlib
Foundations
Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
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FirstOrder.Language.dlo_isComplete · cited by 0Language.dlo_isCompleteCardinal.mk · cited by 942Cardinal.mkCardinal.aleph0 · cited by 521Cardinal.aleph0FirstOrder.Language.Theory.ModelType · cited by 62Theory.ModelTypeFirstOrder.Language.Theory.ModelType.Carrier · cited by 59ModelType.CarrierDenumerable · cited by 28DenumerableFirstOrder.Language.order · cited by 14Language.orderFirstOrder.Language.dlo · cited by 8Language.dloCardinal.Categorical · cited by 4Cardinal.CategoricalCardinal.denumerable_iff · cited by 2Cardinal.denumerable_iffFirstOrder.Language.isFraisseLimit_of_countable_nonempty_dlo · cited by 2Language.isFraisseLimit_o…FirstOrder.Language.IsFraisseLimit.nonempty_equiv · cited by 1IsFraisseLimit.nonempty_e…Language.aleph0_categorical_d…CITED BYCITES

Cites11

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