Mathlib Map

Theorems · Theorem · logic and foundations

FirstOrder.Language.LHom.Injective.onFunction

∀ {L : FirstOrder.Language} {L' : FirstOrder.Language} {ϕ : L →ᴸ L'},
  ϕ.Injective → ∀ {n : ℕ}, Function.Injective fun f => ϕ.onFunction f
Defined in
Mathlib.ModelTheory.LanguageMap
Cited by
1 results in Mathlib
Foundations
Depth 3 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.Injective.isExpansionOn_default · cited by 0Injective.isExpansionOn_d…FirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Functions · cited by 153Language.FunctionsFirstOrder.Language.LHom · cited by 66Language.LHomFirstOrder.Language.LHom.onFunction · cited by 27LHom.onFunctionFirstOrder.Language.LHom.Injective · cited by 9LHom.InjectiveInjective.onFunctionCITED BYCITES

Cites5

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.