Proof Step: c_0_116

name: c_0_116 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_14 ⊕ times_times_real X15 times_times_real X11 X40 = times_times_real X11 times_times_real X15 X40 c_0_103 ⊕ times_times_real X2391 times_times_real X2392 X2393 = times_times_real X2392 times_times_real X2391 X2393 c_0_14->c_0_103 c_0_116 ⊕ times_times_real X1 times_times_real X5 X6 = times_times_real X5 times_times_real X1 X6 c_0_103->c_0_116 c_0_132 ⊕ times_times_real X1 times_times_real X5 X6 = times_times_real X5 times_times_real X1 X6 c_0_116->c_0_132

Input Dependencies

c_0_14

Assumptions

c_0_103

Conclusion

c_0_116

Dependents

c_0_132

Formula

! [X1: real,X5: real,X6: real] :
  ( ( times_times_real @ X1 @ ( times_times_real @ X5 @ X6 ) )
  = ( times_times_real @ X5 @ ( times_times_real @ X1 @ X6 ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_103])