Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.LEquiv.toLHom

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

The forward language homomorphism

Defined in
Mathlib.ModelTheory.LanguageMap
Cited by
11 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

FirstOrder.Language.LEquiv.symm · cited by 4LEquiv.symmFirstOrder.Language.LEquiv.onTerm · cited by 3LEquiv.onTermFirstOrder.Language.LEquiv.onBoundedFormula · cited by 3LEquiv.onBoundedFormulaFirstOrder.Language.LEquiv.trans · cited by 2LEquiv.transFirstOrder.Language.LEquiv.symm_toLHom · cited by 1LEquiv.symm_toLHomFirstOrder.Language.LEquiv.onFormula_apply · cited by 0LEquiv.onFormula_applyFirstOrder.Language.LEquiv.onSentence_apply · cited by 0LEquiv.onSentence_applyFirstOrder.Language.LEquiv.onTerm_apply · cited by 0LEquiv.onTerm_applyFirstOrder.Language.LEquiv.refl_toLHom · cited by 0LEquiv.refl_toLHomFirstOrder.Language.LEquiv.right_inv · cited by 0LEquiv.right_invFirstOrder.Language.LEquiv.symm_invLHom · cited by 0LEquiv.symm_invLHomFirstOrder.Language.LEquiv.trans_toLHom · cited by 0LEquiv.trans_toLHomFirstOrder.Language.LEquiv.addEmptyConstants_toLHom · cited by 0LEquiv.addEmptyConstants_…FirstOrder.Language.LEquiv.left_inv · cited by 0LEquiv.left_invFirstOrder.Language.LEquiv.onBoundedFormula_apply · cited by 0LEquiv.onBoundedFormula_a…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.LHom · cited by 66Language.LHomFirstOrder.Language.LEquiv · cited by 19Language.LEquivLEquiv.toLHomCITED BYCITES

Cites3

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

Cited by15

Results whose statement or proof uses this declaration.