Proof Step: c_0_118

name: c_0_118 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_7 c_0_7 c_0_107 ⊕ times_times_real X1 divide_divide_real X5 X1 = X5 ⊕ X1 = zero_zero_real c_0_7->c_0_107 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_107 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_107 c_0_118 ⊕ times_times_real X1 divide_divide_real X5 X1 = X5 ⊕ X1 = zero_zero_real c_0_107->c_0_118 c_0_133 ⊕ numeral_numeral_real bit0 one = divide_divide_real pi esk1_0 c_0_118->c_0_133 c_0_196 ⊕ times_times_real X1 uminus_uminus_real divide_divide_real X5 uminus_uminus_real X1 = X5 ⊕ uminus_uminus_real X1 = zero_zero_real c_0_118->c_0_196 c_0_296 ⊕ ord_less_eq_real times_times_real X1 divide_divide_real X5 X6 X5 ⊕ X6 = zero_zero_real ⊖ ord_less_eq_real zero_zero_real divide_divide_real X5 X6 ⊖ ord_less_eq_real X1 X6 c_0_118->c_0_296

Input Dependencies

c_0_7 c_0_8 c_0_9

Assumptions

c_0_107

Conclusion

c_0_118

Dependents

c_0_133 c_0_196 c_0_296

Formula

! [X5: real,X1: real] :
  ( ( ( times_times_real @ X1 @ ( divide_divide_real @ X5 @ X1 ) )
    = X5 )
  | ( X1 = zero_zero_real ) )

Source

inference(evalgc,[status(thm)],[c_0_107])