Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.Theory.ModelType.shrink

{L : FirstOrder.Language} → {T : L.Theory} → (M : T.ModelType) → [Small.{w', w} ↑M] → T.ModelType

Shrinks a small model to a particular universe.

Defined in
Mathlib.ModelTheory.Bundled
Cited by
1 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Small
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

FirstOrder.Language.Theory.Model.isSatisfiable · cited by 5Model.isSatisfiableFirstOrder.Language · cited by 1084FirstOrder.LanguageSmall · cited by 369SmallFirstOrder.Language.Theory · cited by 154Language.TheoryequivShrink · cited by 118equivShrinkFirstOrder.Language.Theory.ModelType · cited by 62Theory.ModelTypeFirstOrder.Language.Theory.ModelType.Carrier · cited by 59ModelType.CarrierFirstOrder.Language.Theory.ModelType.equivInduced · cited by 0ModelType.equivInducedModelType.shrinkCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.