Proof Step: c_0_153

name: c_0_153 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_133 ⊕ numeral_numeral_real bit0 one = divide_divide_real pi esk1_0 c_0_0->c_0_133 c_0_1 c_0_1 c_0_1->c_0_105 c_0_1->c_0_133 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_105 c_0_2->c_0_133 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_133 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_133 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_133 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_105 c_0_6->c_0_133 c_0_7 c_0_7 c_0_7->c_0_133 c_0_8 ⊕ divide_divide_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X40 X15 c_0_8->c_0_133 c_0_9 ⊕ times_times_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X15 X40 c_0_9->c_0_133 c_0_10 c_0_10 c_0_10->c_0_133 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_133 c_0_153 ⊕ times_times_real esk1_0 divide_divide_real pi esk1_0 = pi c_0_105->c_0_153 c_0_133->c_0_153 c_0_171 ⊕ times_times_real esk1_0 times_times_real X1 divide_divide_real pi esk1_0 = times_times_real X1 pi c_0_153->c_0_171 c_0_199 ⊕ X1 = zero_zero_real ⊖ times_times_real X1 pi = zero_zero_real c_0_153->c_0_199 c_0_238 ⊕ times_times_real X1 divide_divide_real pi times_times_real pi esk1_0 = divide_divide_real X1 esk1_0 c_0_153->c_0_238

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_7 c_0_8 c_0_9 c_0_10 c_0_11

Assumptions

c_0_105 c_0_133

Conclusion

c_0_153

Dependents

c_0_171 c_0_199 c_0_238

Formula

( ( times_times_real @ esk1_0 @ ( divide_divide_real @ pi @ esk1_0 ) )
= pi )

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[c_0_105,c_0_133])])