cases' rhs with Y_in Ysat
case cons.mpr.intro
W : Type
M : KripkeModel W
w : W
N : ℕ
X : List Formula
XS : List (List Formula)
IH : evaluate M w (discon XS) ↔ ∃ Y ∈ XS, ∀ f ∈ Y, evaluate M w f
Y : List Formula
rhs : Y ∈ X :: XS ∧ ∀ f ∈ Y, evaluate M w f
⊢ evaluate M w (Con X) ∨ ∃ Y ∈ XS, ∀ f ∈ Y, evaluate M w f
case cons.mpr.intro.intro
W : Type
M : KripkeModel W
w : W
N : ℕ
X : List Formula
XS : List (List Formula)
IH : evaluate M w (discon XS) ↔ ∃ Y ∈ XS, ∀ f ∈ Y, evaluate M w f
Y : List Formula
Y_in : Y ∈ X :: XS
Ysat : ∀ f ∈ Y, evaluate M w f
⊢ evaluate M w (Con X) ∨ ∃ Y ∈ XS, ∀ f ∈ Y, evaluate M w f