Proof Step: c_0_109

name: c_0_109 syntax: thf role: plain inference: split_conjunct

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_101 ⊕ times_times_real X2553 uminus_uminus_real X2554 = uminus_uminus_real times_times_real X2553 X2554 c_0_12->c_0_101 c_0_109 ⊕ times_times_real X1 uminus_uminus_real X5 = uminus_uminus_real times_times_real X1 X5 c_0_101->c_0_109 c_0_124 ⊕ uminus_uminus_real times_times_real X1 X5 = times_times_real X1 uminus_uminus_real X5 c_0_109->c_0_124

Input Dependencies

c_0_12

Assumptions

c_0_101

Conclusion

c_0_109

Dependents

c_0_124

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_101])