case neg φ =>
  cases orule'
  case neg φ' =>
    simp_all
    subst c_in
    subst precond_eq
    if φ = φ'
    then simp_all
    else simp_all
  all_goals aesop
α : Formula
L R : Finset Formula
α_in_L : α ∈ L
c : TNode
Lcond' : Finset Formula
L_cond_in : Lcond' ⊆ L
ress : List (Finset Formula)
orule' : OneSidedLocalRule Lcond' ress
R_cond_in : ∅ ⊆ R
c_in : c ∈ applyLocalRule (LocalRule.oneSidedL orule') (L, R)
φ : Formula
precond_eq : {~~φ} = {α}
⊢ α ∈ c.1 ∨ ∃ res ∈ [{φ}], res ⊆ c.1
no goals