Proof Step: c_0_168

name: c_0_168 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_8 ⊕ divide_divide_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X40 X15 c_0_149 ⊕ divide_divide_real times_times_real X1 X5 X6 = times_times_real X1 divide_divide_real X5 X6 c_0_8->c_0_149 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_149 c_0_19 ⊕ divide_divide_real times_times_real X690 X11 times_times_real X690 X690 = divide_divide_real X11 X690 c_0_148 ⊕ divide_divide_real times_times_real X1 X5 times_times_real X1 X1 = divide_divide_real X5 X1 c_0_19->c_0_148 c_0_168 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X1 X1 = divide_divide_real X5 X1 c_0_148->c_0_168 c_0_149->c_0_168 c_0_198 ⊕ times_times_real X1 uminus_uminus_real divide_divide_real X5 times_times_real X1 X1 = divide_divide_real X5 uminus_uminus_real X1 c_0_168->c_0_198 c_0_228 ⊕ divide_divide_real uminus_uminus_real X1 X5 = divide_divide_real X1 uminus_uminus_real X5 c_0_168->c_0_228 c_0_297 ⊕ times_times_real semiri2110766477t_real X2 divide_divide_real X1 semiri2110766477t_real times_times_nat X2 X2 = divide_divide_real X1 semiri2110766477t_real X2 c_0_168->c_0_297

Input Dependencies

c_0_8 c_0_9 c_0_19

Assumptions

c_0_148 c_0_149

Conclusion

c_0_168

Dependents

c_0_198 c_0_228 c_0_297

Formula

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

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[c_0_148,c_0_149])])