intro 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
⊢ (¬∃ 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 : ¬∃ Y ∈ XS, ∀ f ∈ Y, evaluate M w f
⊢ ∃ Y ∈ YS, ∀ f ∈ Y, evaluate M w f