simp [applyLocalRule] at *
W : Type
L R : List Formula
O : Option (NegLoadFormula ⊕ NegLoadFormula)
M : KripkeModel W
w : W
Lcond : List Formula
ress : List (List Formula)
orule : OneSidedLocalRule Lcond ress
preconditionProof : Lcond.Sublist L ∧ ∅.Sublist R ∧ none ⊆ O
osTruth : evaluate M w (Con Lcond) ↔ evaluate M w (discon ress)
⊢ (M, w)⊨(L, R, O) ↔ ∃ Ci ∈ applyLocalRule (LocalRule.oneSidedL orule) (L, R, O), (M, w)⊨Ci
W : Type
L R : List Formula
O : Option (NegLoadFormula ⊕ NegLoadFormula)
M : KripkeModel W
w : W
Lcond : List Formula
ress : List (List Formula)
orule : OneSidedLocalRule Lcond ress
osTruth : evaluate M w (Con Lcond) ↔ evaluate M w (discon ress)
preconditionProof : Lcond.Sublist L
⊢ (M, w)⊨(L, R, O) ↔ ∃ a ∈ ress, (M, w)⊨(L.diff Lcond ++ a, R, O)