Proof Step: c_0_57

name: c_0_57 syntax: thf role: plain inference: shift_quantors

Proof State Overview

proof_step c_0_1 c_0_1 c_0_57 c_0_57 c_0_1->c_0_57 c_0_60 ⊕ X1 = esk1_0 ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X1 numeral_numeral_real bit0 one ⊖ cos_real X1 = zero_zero_real c_0_57->c_0_60

Input Dependencies

c_0_1

Assumptions

c_0_1

Conclusion

c_0_57

Dependents

c_0_60

Formula

! [X2208: real] :
  ( ( ord_less_eq_real @ zero_zero_real @ esk1_0 )
  & ( ord_less_eq_real @ esk1_0 @ ( numeral_numeral_real @ ( bit0 @ one ) ) )
  & ( ( cos_real @ esk1_0 )
    = zero_zero_real )
  & ( ~ ( ord_less_eq_real @ zero_zero_real @ X2208 )
    | ~ ( ord_less_eq_real @ X2208 @ ( numeral_numeral_real @ ( bit0 @ one ) ) )
    | ( ( cos_real @ X2208 )
     != zero_zero_real )
    | ( X2208 = esk1_0 ) ) )

Source

inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])