simpa using (provableSentence_representation (L := ℒₒᵣ)).mpr H
T : Theory ℒₒᵣ
inst✝⁴ : 𝐄𝐐 ≼ T
inst✝³ : 𝐏𝐀⁻ ≼ T
inst✝² : SigmaOneSound T
inst✝¹ : DecidablePred T
inst✝ : T.Computable
H : T ⊢! G
h₁ : T ⊢! ~[→ ⸢G⸣].hom (provableSentence T)
⊢ T ⊢! [→ ⸢G⸣].hom (provableSentence T)
no goals