Proof Step: c_0_302

name: c_0_302 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_39 c_0_39 c_0_276 ⊕ ord_less_eq_real zero_zero_real divide_divide_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X5 ⊖ ord_less_eq_real zero_zero_real X1 c_0_39->c_0_276 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_276->c_0_302 c_0_149->c_0_302 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_302->c_0_315

Input Dependencies

c_0_8 c_0_9 c_0_39

Assumptions

c_0_276 c_0_149

Conclusion

c_0_302

Dependents

c_0_315

Formula

! [X1: real,X6: real,X5: real] :
  ( ( 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 ) ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_149])])