Proof Step: c_0_309

name: c_0_309 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_290 ⊕ divide_divide_real pi pi = one_one_real c_0_0->c_0_290 c_0_1 c_0_1 c_0_1->c_0_290 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_290 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_290 c_0_4 ⊕ cos_real divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_4->c_0_290 c_0_5 ⊕ ord_less_eq_real zero_zero_real divide_divide_real pi numeral_numeral_real bit0 one c_0_5->c_0_290 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_290 c_0_7 c_0_7 c_0_7->c_0_290 c_0_8 ⊕ divide_divide_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X40 X15 c_0_289 ⊕ times_times_real divide_divide_real X1 X5 X6 = times_times_real X1 divide_divide_real X6 X5 c_0_8->c_0_289 c_0_8->c_0_290 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_289 c_0_9->c_0_290 c_0_10 c_0_10 c_0_10->c_0_290 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_290 c_0_21 ⊖ zero_zero_real = numeral_numeral_real X54 c_0_21->c_0_290 c_0_27 c_0_27 c_0_27->c_0_290 c_0_28 ⊕ divide_divide_real divide_divide_real X11 X15 X40 = divide_divide_real X11 times_times_real X40 X15 c_0_28->c_0_290 c_0_30 c_0_30 c_0_30->c_0_290 c_0_32 c_0_32 c_0_32->c_0_290 c_0_46 ⊕ times_times_real divide_divide_real X15 X40 X11 = divide_divide_real times_times_real X15 X11 X40 c_0_46->c_0_289 c_0_47 ⊕ times_times_real one_one_real X11 = X11 c_0_291 ⊕ times_times_real one_one_real X1 = X1 c_0_47->c_0_291 c_0_309 ⊕ times_times_real pi divide_divide_real X1 pi = X1 c_0_289->c_0_309 c_0_290->c_0_309 c_0_291->c_0_309 c_0_320 ⊖ semiri2110766477t_real n = zero_zero_real c_0_309->c_0_320

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 c_0_21 c_0_27 c_0_28 c_0_30 c_0_32 c_0_46 c_0_47

Assumptions

c_0_289 c_0_290 c_0_291

Conclusion

c_0_309

Dependents

c_0_320

Formula

! [X1: real] :
  ( ( times_times_real @ pi @ ( divide_divide_real @ X1 @ pi ) )
  = X1 )

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_289,c_0_290]),c_0_291])])