simp_all
case mk.intro.LRnegR
α : Formula
L R precond : Finset Formula
ress : List (Finset Formula)
α_in_L : α ∈ L
orule : OneSidedLocalRule precond ress
precond_eq : precond = {α}
c : TNode
ϕ✝ : Formula
L_cond_in : {~ϕ✝} ⊆ L
R_cond_in : {ϕ✝} ⊆ R
c_in : c ∈ applyLocalRule (LocalRule.LRnegR ϕ✝) (L, R)
⊢ α ∈ c.1 ∨ ∃ res ∈ ress, res ⊆ c.1
no goals