Proof Step: c_0_286

name: c_0_286 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_259 ⊕ divide_divide_real one_one_real X1 = zero_zero_real ⊖ divide_divide_real pi X1 = zero_zero_real c_0_0->c_0_259 c_0_1 c_0_1 c_0_1->c_0_259 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_259 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_259 c_0_4 ⊕ cos_real divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_4->c_0_259 c_0_5 ⊕ ord_less_eq_real zero_zero_real divide_divide_real pi numeral_numeral_real bit0 one c_0_5->c_0_259 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_259 c_0_7 c_0_7 c_0_258 ⊕ times_times_real X1 divide_divide_real X5 X1 = X5 ⊕ uminus_uminus_real X1 = zero_zero_real c_0_7->c_0_258 c_0_7->c_0_259 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_258 c_0_8->c_0_259 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_258 c_0_9->c_0_259 c_0_10 c_0_10 c_0_10->c_0_259 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_259 c_0_12 ⊕ times_times_real X11 uminus_uminus_real X15 = uminus_uminus_real times_times_real X11 X15 c_0_12->c_0_258 c_0_13 c_0_13 c_0_13->c_0_259 c_0_14 ⊕ times_times_real X15 times_times_real X11 X40 = times_times_real X11 times_times_real X15 X40 c_0_14->c_0_259 c_0_15 ⊕ times_times_real uminus_uminus_real X11 X15 = uminus_uminus_real times_times_real X11 X15 c_0_15->c_0_258 c_0_16 ⊕ divide_divide_real minus_minus_real X11 X15 X40 = minus_minus_real divide_divide_real X11 X40 divide_divide_real X15 X40 c_0_16->c_0_258 c_0_17 ⊕ divide_divide_real zero_zero_real X11 = zero_zero_real c_0_17->c_0_258 c_0_18 ⊕ minus_minus_real zero_zero_real X11 = uminus_uminus_real X11 c_0_18->c_0_258 c_0_19 ⊕ divide_divide_real times_times_real X690 X11 times_times_real X690 X690 = divide_divide_real X11 X690 c_0_19->c_0_258 c_0_20 ⊕ uminus_uminus_real uminus_uminus_real X11 = X11 c_0_20->c_0_258 c_0_25 ⊖ pi = zero_zero_real c_0_25->c_0_259 c_0_26 ⊕ divide_divide_real X11 one_one_real = X11 c_0_26->c_0_259 c_0_31 ⊕ times_times_real X11 zero_zero_real = zero_zero_real c_0_260 ⊕ times_times_real X1 zero_zero_real = zero_zero_real c_0_31->c_0_260 c_0_45 ⊖ one_one_real = zero_zero_real c_0_261 ⊖ one_one_real = zero_zero_real c_0_45->c_0_261 c_0_286 ⊕ uminus_uminus_real X1 = zero_zero_real ⊖ divide_divide_real pi X1 = zero_zero_real c_0_258->c_0_286 c_0_259->c_0_286 c_0_260->c_0_286 c_0_261->c_0_286 c_0_307 ⊕ sin_real X1 = zero_zero_real ⊖ divide_divide_real pi X1 = zero_zero_real c_0_286->c_0_307

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_12 c_0_13 c_0_14 c_0_15 c_0_16 c_0_17 c_0_18 c_0_19 c_0_20 c_0_25 c_0_26 c_0_31 c_0_45

Assumptions

c_0_258 c_0_259 c_0_260 c_0_261

Conclusion

c_0_286

Dependents

c_0_307

Formula

! [X1: real] :
  ( ( ( uminus_uminus_real @ X1 )
    = zero_zero_real )
  | ( ( divide_divide_real @ pi @ X1 )
   != zero_zero_real ) )

Source

inference(evalgc,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_258,c_0_259]),c_0_260]),c_0_261])])