Proof Step: c_0_117

name: c_0_117 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_0 ⊕ divide_divide_real pi numeral_numeral_real bit0 one = the_real ? c_0_105 ⊕ times_times_real esk1_0 numeral_numeral_real bit0 one = pi c_0_0->c_0_105 c_0_1 c_0_1 c_0_1->c_0_105 c_0_106 ⊖ esk1_0 = zero_zero_real c_0_1->c_0_106 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_105 c_0_3 ⊕ ord_less_eq_real divide_divide_real pi numeral_numeral_real bit0 one numeral_numeral_real bit0 one c_0_3->c_0_105 c_0_3->c_0_106 c_0_4 ⊕ cos_real divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_4->c_0_105 c_0_4->c_0_106 c_0_5 ⊕ ord_less_eq_real zero_zero_real divide_divide_real pi numeral_numeral_real bit0 one c_0_5->c_0_105 c_0_5->c_0_106 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_105 c_0_10 c_0_10 c_0_104 ⊕ X1 = zero_zero_real ⊕ X5 = X6 ⊖ times_times_real X1 X5 = times_times_real X1 X6 c_0_10->c_0_104 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_106 c_0_117 ⊕ X1 = numeral_numeral_real bit0 one ⊖ times_times_real esk1_0 X1 = pi c_0_104->c_0_117 c_0_105->c_0_117 c_0_106->c_0_117 c_0_133 ⊕ numeral_numeral_real bit0 one = divide_divide_real pi esk1_0 c_0_117->c_0_133

Input Dependencies

c_0_0 c_0_1 c_0_2 c_0_3 c_0_4 c_0_5 c_0_6 c_0_10 c_0_11

Assumptions

c_0_104 c_0_105 c_0_106

Conclusion

c_0_117

Dependents

c_0_133

Formula

! [X1: real] :
  ( ( X1
    = ( numeral_numeral_real @ ( bit0 @ one ) ) )
  | ( ( times_times_real @ esk1_0 @ X1 )
   != pi ) )

Source

inference(evalgc,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_106])])