simpa[diagRefutation] using pred_representation T (diagRefutation_re T) (x := σ)
T : Theory ℒₒᵣ
inst✝⁴ : 𝐄𝐐 ≼ T
inst✝³ : 𝐏𝐀⁻ ≼ T
inst✝² : DecidablePred T
inst✝¹ : SigmaOneSound T
inst✝ : T.Computable
σ : Semisentence ℒₒᵣ 1
⊢ T ⊢! [→ ⸢σ⸣].hom ρ ↔ T ⊢! ~[→ ⸢σ⸣].hom σ
no goals