Proof Step: c_0_259

name: c_0_259 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_229 ⊕ X1 = zero_zero_real ⊖ times_times_real pi X1 = zero_zero_real c_0_0->c_0_229 c_0_1 c_0_1 c_0_1->c_0_229 c_0_2 ⊕ pi = times_times_real numeral_numeral_real bit0 one the_real ? c_0_2->c_0_229 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_229 c_0_4 ⊕ cos_real divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_4->c_0_229 c_0_5 ⊕ ord_less_eq_real zero_zero_real divide_divide_real pi numeral_numeral_real bit0 one c_0_5->c_0_229 c_0_6 ⊕ times_times_real = ? c_0_6->c_0_229 c_0_7 c_0_7 c_0_7->c_0_229 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_229 c_0_230 ⊕ times_times_real X1 divide_divide_real one_one_real X5 = divide_divide_real X1 X5 c_0_8->c_0_230 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_229 c_0_9->c_0_230 c_0_10 c_0_10 c_0_10->c_0_229 c_0_11 ⊖ divide_divide_real pi numeral_numeral_real bit0 one = zero_zero_real c_0_11->c_0_229 c_0_13 c_0_13 c_0_13->c_0_229 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_229 c_0_25 ⊖ pi = zero_zero_real c_0_25->c_0_229 c_0_26 ⊕ divide_divide_real X11 one_one_real = X11 c_0_26->c_0_230 c_0_259 ⊕ divide_divide_real one_one_real X1 = zero_zero_real ⊖ divide_divide_real pi X1 = zero_zero_real c_0_229->c_0_259 c_0_230->c_0_259 c_0_286 ⊕ uminus_uminus_real X1 = zero_zero_real ⊖ divide_divide_real pi X1 = zero_zero_real c_0_259->c_0_286

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_13 c_0_14 c_0_25 c_0_26

Assumptions

c_0_229 c_0_230

Conclusion

c_0_259

Dependents

c_0_286

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_229,c_0_230])])