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Theorems · Definition · logic and foundations

FirstOrder.Language.LEquiv.onFormula

{L : FirstOrder.Language} → {L' : FirstOrder.Language} → {α : Type u'} → (L ≃ᴸ L') → L.Formula α ≃ L'.Formula α

Maps a formula's symbols along a language equivalence.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
3 results in Mathlib
Foundations
Depth 22 from the axioms · uses propext, Quot.sound
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Around this declaration

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

Set.empty_definable_iff · cited by 2Set.empty_definable_iffFirstOrder.Language.LEquiv.onSentence · cited by 2LEquiv.onSentenceFirstOrder.Language.LEquiv.onFormula_apply · cited by 0LEquiv.onFormula_applyFirstOrder.Language.LEquiv.onFormula_symm · cited by 0LEquiv.onFormula_symmEquiv · cited by 8337EquivFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Formula · cited by 93Language.FormulaFirstOrder.Language.LEquiv · cited by 19Language.LEquivFirstOrder.Language.LEquiv.onBoundedFormula · cited by 3LEquiv.onBoundedFormulaLEquiv.onFormulaCITED BYCITES

Cites5

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

Cited by4

Results whose statement or proof uses this declaration.