Proof Step: c_0_299

name: c_0_299 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_277 ⊕ divide_divide_real X1 times_times_real X1 divide_divide_real X5 X6 = divide_divide_real X6 X5 ⊕ X1 = zero_zero_real c_0_8->c_0_277 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_277 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_40 c_0_40 c_0_40->c_0_277 c_0_299 ⊕ ord_less_eq_real zero_zero_real divide_divide_real X6 X5 ⊕ X1 = zero_zero_real ⊖ ord_less_eq_real zero_zero_real times_times_real X1 divide_divide_real X5 X6 ⊖ ord_less_eq_real zero_zero_real X1 c_0_276->c_0_299 c_0_277->c_0_299 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_299->c_0_314

Input Dependencies

c_0_8 c_0_9 c_0_39 c_0_40

Assumptions

c_0_276 c_0_277

Conclusion

c_0_299

Dependents

c_0_314

Formula

! [X6: real,X5: real,X1: real] :
  ( ( ord_less_eq_real @ zero_zero_real @ ( divide_divide_real @ X6 @ X5 ) )
  | ( X1 = zero_zero_real )
  | ~ ( ord_less_eq_real @ zero_zero_real @ ( times_times_real @ X1 @ ( divide_divide_real @ X5 @ X6 ) ) )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X1 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277])])