Proof Step: c_0_277

name: c_0_277 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_93 ⊕ divide_divide_real times_times_real X1 X6 X5 = divide_divide_real X1 divide_divide_real X5 X6 c_0_8->c_0_93 c_0_8->c_0_93 c_0_100 ⊕ divide_divide_real X1 divide_divide_real X5 X6 = times_times_real X1 divide_divide_real X6 X5 c_0_8->c_0_100 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_100 c_0_40 c_0_40 c_0_249 ⊕ X1 = zero_zero_real ⊕ divide_divide_real times_times_real X1 X5 times_times_real X1 X6 = divide_divide_real X5 X6 c_0_40->c_0_249 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_249->c_0_277 c_0_93->c_0_277 c_0_93->c_0_277 c_0_100->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_277->c_0_299

Input Dependencies

c_0_8 c_0_9 c_0_40

Assumptions

c_0_249 c_0_93 c_0_93 c_0_100

Conclusion

c_0_277

Dependents

c_0_299

Formula

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

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_93]),c_0_93]),c_0_100])])