Proof Step: c_0_196

name: c_0_196 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_7 c_0_7 c_0_118 ⊕ times_times_real X1 divide_divide_real X5 X1 = X5 ⊕ X1 = zero_zero_real c_0_7->c_0_118 c_0_8 ⊕ divide_divide_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X40 X15 c_0_8->c_0_118 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_118 c_0_12 ⊕ times_times_real X11 uminus_uminus_real X15 = uminus_uminus_real times_times_real X11 X15 c_0_164 ⊕ times_times_real uminus_uminus_real X1 X5 = times_times_real X1 uminus_uminus_real X5 c_0_12->c_0_164 c_0_15 ⊕ times_times_real uminus_uminus_real X11 X15 = uminus_uminus_real times_times_real X11 X15 c_0_15->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_118->c_0_196 c_0_164->c_0_196 c_0_227 ⊕ times_times_real X1 divide_divide_real uminus_uminus_real X5 uminus_uminus_real X1 = X5 ⊕ uminus_uminus_real X1 = zero_zero_real c_0_196->c_0_227

Input Dependencies

c_0_7 c_0_8 c_0_9 c_0_12 c_0_15

Assumptions

c_0_118 c_0_164

Conclusion

c_0_196

Dependents

c_0_227

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_164])])