Proof Step: c_0_257

name: c_0_257 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_22 ⊕ sin_real plus_plus_real pi X1 = uminus_uminus_real sin_real X1 c_0_226 ⊕ uminus_uminus_real sin_real uminus_uminus_real X1 = sin_real X1 c_0_22->c_0_226 c_0_23 ⊕ plus_plus_real X11 uminus_uminus_real X15 = minus_minus_real X11 X15 c_0_23->c_0_226 c_0_24 ⊕ sin_real minus_minus_real pi X1 = sin_real X1 c_0_24->c_0_226 c_0_29 c_0_29 c_0_225 ⊕ X1 = zero_zero_real ⊖ uminus_uminus_real X1 = zero_zero_real c_0_29->c_0_225 c_0_257 ⊕ sin_real uminus_uminus_real X1 = zero_zero_real ⊖ sin_real X1 = zero_zero_real c_0_225->c_0_257 c_0_226->c_0_257 c_0_285 ⊕ sin_real X1 = zero_zero_real ⊖ sin_real uminus_uminus_real X1 = zero_zero_real c_0_257->c_0_285

Input Dependencies

c_0_22 c_0_23 c_0_24 c_0_29

Assumptions

c_0_225 c_0_226

Conclusion

c_0_257

Dependents

c_0_285

Formula

! [X1: real] :
  ( ( ( sin_real @ ( uminus_uminus_real @ X1 ) )
    = zero_zero_real )
  | ( ( sin_real @ X1 )
   != zero_zero_real ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_226])])