subst c_eq
L R : Finset Formula
c : TNode
φ ψ φ' ψ' : Formula
L_cond_in : {~(φ'⋀ψ')} ⊆ L
α_in_L : ~(φ⋀ψ) ∈ L
c_eq : (insert (~ψ') (L.erase (~(φ'⋀ψ'))), R) = c
⊢ ~(φ⋀ψ) ∈ c.1 ∨ ~φ ∈ c.1 ∨ ~ψ ∈ c.1
L R : Finset Formula
φ ψ φ' ψ' : Formula
L_cond_in : {~(φ'⋀ψ')} ⊆ L
α_in_L : ~(φ⋀ψ) ∈ L
⊢ ~(φ⋀ψ) ∈ (insert (~ψ') (L.erase (~(φ'⋀ψ'))), R).1 ∨
    ~φ ∈ (insert (~ψ') (L.erase (~(φ'⋀ψ'))), R).1 ∨ ~ψ ∈ (insert (~ψ') (L.erase (~(φ'⋀ψ'))), R).1