simp at notL
case mp.intro.intro
XS YS : List (List Formula)
W : Type
M : KripkeModel W
w : W
Z : List Formula
Z_in : Z ∈ XS ∨ Z ∈ YS
w_sat_Z : ∀ f ∈ Z, Evaluate (M, w) f
notL : ¬∃ Y ∈ XS, ∀ f ∈ Y, Evaluate (M, w) f
⊢ ∃ Y ∈ YS, ∀ f ∈ Y, Evaluate (M, w) f
case mp.intro.intro
XS YS : List (List Formula)
W : Type
M : KripkeModel W
w : W
Z : List Formula
Z_in : Z ∈ XS ∨ Z ∈ YS
w_sat_Z : ∀ f ∈ Z, Evaluate (M, w) f
notL : ∀ x ∈ XS, ∃ x_1 ∈ x, ¬Evaluate (M, w) x_1
⊢ ∃ Y ∈ YS, ∀ f ∈ Y, Evaluate (M, w) f