Step
*
of Lemma
satisfiable_int_formula_dnf
∀fmla:int_formula()
  (satisfiable_int_formula(fmla) 
⇐⇒ (∃X∈int_formula_dnf(fmla). satisfiable_polynomial_constraints(X)))
BY
{ Auto }
1
1. fmla : int_formula()@i
2. satisfiable_int_formula(fmla)@i
⊢ (∃X∈int_formula_dnf(fmla). satisfiable_polynomial_constraints(X))
2
1. fmla : int_formula()@i
2. (∃X∈int_formula_dnf(fmla). satisfiable_polynomial_constraints(X))@i
⊢ satisfiable_int_formula(fmla)
Latex:
Latex:
\mforall{}fmla:int\_formula()
    (satisfiable\_int\_formula(fmla)
    \mLeftarrow{}{}\mRightarrow{}  (\mexists{}X\mmember{}int\_formula\_dnf(fmla).  satisfiable\_polynomial\_constraints(X)))
By
Latex:
Auto
Home
Index