Proof Step: c_0_228

name: c_0_228 syntax: thf role: plain inference: rw

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_198 ⊕ times_times_real X1 uminus_uminus_real divide_divide_real X5 times_times_real X1 X1 = divide_divide_real X5 uminus_uminus_real X1 c_0_8->c_0_198 c_0_168 ⊕ times_times_real X1 divide_divide_real X5 times_times_real X1 X1 = divide_divide_real X5 X1 c_0_8->c_0_168 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_198 c_0_9->c_0_168 c_0_12 ⊕ times_times_real X11 uminus_uminus_real X15 = uminus_uminus_real times_times_real X11 X15 c_0_12->c_0_198 c_0_15 ⊕ times_times_real uminus_uminus_real X11 X15 = uminus_uminus_real times_times_real X11 X15 c_0_15->c_0_198 c_0_16 ⊕ divide_divide_real minus_minus_real X11 X15 X40 = minus_minus_real divide_divide_real X11 X40 divide_divide_real X15 X40 c_0_197 ⊕ uminus_uminus_real divide_divide_real X5 X1 = divide_divide_real uminus_uminus_real X5 X1 c_0_16->c_0_197 c_0_17 ⊕ divide_divide_real zero_zero_real X11 = zero_zero_real c_0_17->c_0_197 c_0_18 ⊕ minus_minus_real zero_zero_real X11 = uminus_uminus_real X11 c_0_18->c_0_197 c_0_19 ⊕ divide_divide_real times_times_real X690 X11 times_times_real X690 X690 = divide_divide_real X11 X690 c_0_19->c_0_198 c_0_19->c_0_168 c_0_20 ⊕ uminus_uminus_real uminus_uminus_real X11 = X11 c_0_20->c_0_198 c_0_228 ⊕ divide_divide_real uminus_uminus_real X1 X5 = divide_divide_real X1 uminus_uminus_real X5 c_0_198->c_0_228 c_0_197->c_0_228 c_0_168->c_0_228 c_0_258 ⊕ times_times_real X1 divide_divide_real X5 X1 = X5 ⊕ uminus_uminus_real X1 = zero_zero_real c_0_228->c_0_258

Input Dependencies

c_0_8 c_0_9 c_0_12 c_0_15 c_0_16 c_0_17 c_0_18 c_0_19 c_0_20

Assumptions

c_0_198 c_0_197 c_0_168

Conclusion

c_0_228

Dependents

c_0_258

Formula

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

Source

inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_198,c_0_197]),c_0_168])