unfold NoMetaVarAndAllFreeInList
σ : Instantiation
τ : MetaInstantiation
phi : Formula
phi_ih :
  ∀ (vs : List VarName), NoMetaVarAndAllFreeInList vs phi → NoMetaVarAndAllFreeInList (List.map (↑σ) vs) (sub σ τ phi)
vs : List VarName
h1 : NoMetaVarAndAllFreeInList vs phi
⊢ NoMetaVarAndAllFreeInList (List.map (↑σ) vs) (sub σ τ phi).not_
σ : Instantiation
τ : MetaInstantiation
phi : Formula
phi_ih :
  ∀ (vs : List VarName), NoMetaVarAndAllFreeInList vs phi → NoMetaVarAndAllFreeInList (List.map (↑σ) vs) (sub σ τ phi)
vs : List VarName
h1 : NoMetaVarAndAllFreeInList vs phi
⊢ NoMetaVarAndAllFreeInList (List.map (↑σ) vs) (sub σ τ phi)