Proof Step: c_0_300

name: c_0_300 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_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_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_274->c_0_300 c_0_314 ⊕ semiri2110766477t_real X2 = zero_zero_real ⊕ ord_less_eq_real zero_zero_real divide_divide_real X1 semiri2110766477t_real X7 ⊖ ord_less_eq_real zero_zero_real divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 c_0_300->c_0_314 c_0_315 ⊕ ord_less_eq_real zero_zero_real divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 ⊖ ord_less_eq_real zero_zero_real X1 c_0_300->c_0_315

Input Dependencies

c_0_8 c_0_9 c_0_38

Assumptions

c_0_149 c_0_274

Conclusion

c_0_300

Dependents

c_0_314 c_0_315

Formula

! [X2: nat,X7: nat,X1: real] :
  ( ( times_times_real @ ( semiri2110766477t_real @ X2 ) @ ( divide_divide_real @ ( semiri2110766477t_real @ X7 ) @ X1 ) )
  = ( divide_divide_real @ ( semiri2110766477t_real @ ( times_times_nat @ X2 @ X7 ) ) @ X1 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_149,c_0_274])])