Proof Step: c_0_297

name: c_0_297 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_168 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X1 X1 = divide_divide_real X5 X1 c_0_8->c_0_168 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_168 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_168 c_0_38 ⊕ semiri2110766477t_real times_times_nat X14 X23 = times_times_real semiri2110766477t_real X14 semiri2110766477t_real X23 c_0_274 ⊕ times_times_real semiri2110766477t_real X2 semiri2110766477t_real X7 = semiri2110766477t_real times_times_nat X2 X7 c_0_38->c_0_274 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 c_0_274->c_0_297 c_0_312 ⊕ semiri2110766477t_real times_times_nat X2 X2 = zero_zero_real ⊕ ord_less_eq_real divide_divide_real X1 semiri2110766477t_real X2 X1 ⊖ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real times_times_nat X2 X2 ⊖ ord_less_eq_real semiri2110766477t_real X2 semiri2110766477t_real times_times_nat X2 X2 c_0_297->c_0_312 c_0_313 ⊕ ord_less_eq_real semiri2110766477t_real X2 zero_zero_real ⊕ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real times_times_nat X2 X2 ⊖ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real X2 c_0_297->c_0_313

Input Dependencies

c_0_8 c_0_9 c_0_19 c_0_38

Assumptions

c_0_168 c_0_274

Conclusion

c_0_297

Dependents

c_0_312 c_0_313

Formula

! [X1: real,X2: nat] :
  ( ( times_times_real @ ( semiri2110766477t_real @ X2 ) @ ( divide_divide_real @ X1 @ ( semiri2110766477t_real @ ( times_times_nat @ X2 @ X2 ) ) ) )
  = ( divide_divide_real @ X1 @ ( semiri2110766477t_real @ X2 ) ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_274])])