Proof Step: c_0_289

name: c_0_289 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_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_46 ⊕ times_times_real divide_divide_real X15 X40 X11 = divide_divide_real times_times_real X15 X11 X40 c_0_264 ⊕ divide_divide_real times_times_real X1 X6 X5 = times_times_real divide_divide_real X1 X5 X6 c_0_46->c_0_264 c_0_289 ⊕ times_times_real divide_divide_real X1 X5 X6 = times_times_real X1 divide_divide_real X6 X5 c_0_264->c_0_289 c_0_93->c_0_289 c_0_100->c_0_289 c_0_309 ⊕ times_times_real pi divide_divide_real X1 pi = X1 c_0_289->c_0_309

Input Dependencies

c_0_8 c_0_9 c_0_46

Assumptions

c_0_264 c_0_93 c_0_100

Conclusion

c_0_289

Dependents

c_0_309

Formula

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

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_264,c_0_93]),c_0_100])])