Proof Step: c_0_164

name: c_0_164 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_12 ⊕ times_times_real X11 uminus_uminus_real X15 = uminus_uminus_real times_times_real X11 X15 c_0_144 ⊕ uminus_uminus_real times_times_real X1 X5 = times_times_real X1 uminus_uminus_real X5 c_0_12->c_0_144 c_0_15 ⊕ times_times_real uminus_uminus_real X11 X15 = uminus_uminus_real times_times_real X11 X15 c_0_143 ⊕ uminus_uminus_real times_times_real X1 X5 = times_times_real uminus_uminus_real X1 X5 c_0_15->c_0_143 c_0_164 ⊕ times_times_real uminus_uminus_real X1 X5 = times_times_real X1 uminus_uminus_real X5 c_0_143->c_0_164 c_0_144->c_0_164 c_0_196 ⊕ times_times_real X1 uminus_uminus_real divide_divide_real X5 uminus_uminus_real X1 = X5 ⊕ uminus_uminus_real X1 = zero_zero_real c_0_164->c_0_196 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_164->c_0_198 c_0_164->c_0_198

Input Dependencies

c_0_12 c_0_15

Assumptions

c_0_143 c_0_144

Conclusion

c_0_164

Dependents

c_0_196 c_0_198 c_0_198

Formula

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

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[c_0_143,c_0_144])])