Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.LHom.onSentence

{L : FirstOrder.Language} → {L' : FirstOrder.Language} → (L →ᴸ L') → L.Sentence → L'.Sentence

Maps a sentence's symbols along a language map.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
3 results in Mathlib
Foundations
Depth 15 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.LHom.onTheory · cited by 27LHom.onTheoryFirstOrder.Language.LHom.onTheory_model · cited by 3LHom.onTheory_modelFirstOrder.Language.LHom.mem_onTheory · cited by 0LHom.mem_onTheoryFirstOrder.Language.LHom.realize_onSentence · cited by 0LHom.realize_onSentenceFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Sentence · cited by 127Language.SentenceFirstOrder.Language.LHom · cited by 66Language.LHomFirstOrder.Language.LHom.onFormula · cited by 6LHom.onFormulaLHom.onSentenceCITED BYCITES

Cites4

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.