Proof Step: c_0_149

name: c_0_149 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_129 ⊕ divide_divide_real times_times_real X1 X5 X6 = times_times_real X1 divide_divide_real X5 X6 c_0_8->c_0_129 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_129 c_0_149 ⊕ divide_divide_real times_times_real X1 X5 X6 = times_times_real X1 divide_divide_real X5 X6 c_0_129->c_0_149 c_0_168 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X1 X1 = divide_divide_real X5 X1 c_0_149->c_0_168 c_0_206 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X6 X5 = divide_divide_real X1 X6 ⊕ X5 = zero_zero_real c_0_149->c_0_206 c_0_237 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X6 X1 = divide_divide_real X5 X6 ⊕ X1 = zero_zero_real c_0_149->c_0_237 c_0_300 ⊕ times_times_real semiri2110766477t_real X2 divide_divide_real semiri2110766477t_real X7 X1 = divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 c_0_149->c_0_300 c_0_302 ⊕ ord_less_eq_real zero_zero_real times_times_real X1 divide_divide_real X5 X6 ⊖ ord_less_eq_real zero_zero_real X6 ⊖ ord_less_eq_real zero_zero_real times_times_real X1 X5 c_0_149->c_0_302

Input Dependencies

c_0_8 c_0_9

Assumptions

c_0_129

Conclusion

c_0_149

Dependents

c_0_168 c_0_206 c_0_237 c_0_300 c_0_302

Formula

! [X1: real,X5: real,X6: real] :
  ( ( divide_divide_real @ ( times_times_real @ X1 @ X5 ) @ X6 )
  = ( times_times_real @ X1 @ ( divide_divide_real @ X5 @ X6 ) ) )

Source

inference(evalgc,[status(thm)],[c_0_129])