Proof Step: c_0_123

name: c_0_123 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_15 ⊕ times_times_real uminus_uminus_real X11 X15 = uminus_uminus_real times_times_real X11 X15 c_0_108 ⊕ times_times_real uminus_uminus_real X2231 X2232 = uminus_uminus_real times_times_real X2231 X2232 c_0_15->c_0_108 c_0_123 ⊕ times_times_real uminus_uminus_real X1 X5 = uminus_uminus_real times_times_real X1 X5 c_0_108->c_0_123 c_0_143 ⊕ uminus_uminus_real times_times_real X1 X5 = times_times_real uminus_uminus_real X1 X5 c_0_123->c_0_143

Input Dependencies

c_0_15

Assumptions

c_0_108

Conclusion

c_0_123

Dependents

c_0_143

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_108])