Proof Step: c_0_71

name: c_0_71 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_6 ⊕ powr_real powr_real X4 X6 X17 = powr_real X4 times_times_real X6 X17 c_0_62 ⊕ powr_real powr_real X2485 X2486 X2487 = powr_real X2485 times_times_real X2486 X2487 c_0_6->c_0_62 c_0_71 ⊕ powr_real powr_real X2 X4 X6 = powr_real X2 times_times_real X4 X6 c_0_62->c_0_71 c_0_83 ⊕ powr_real powr_real X2 X4 X6 = powr_real X2 times_times_real X4 X6 c_0_71->c_0_83

Input Dependencies

c_0_6

Assumptions

c_0_62

Conclusion

c_0_71

Dependents

c_0_83

Formula

! [X2: real,X4: real,X6: real] :
  ( ( powr_real @ ( powr_real @ X2 @ X4 ) @ X6 )
  = ( powr_real @ X2 @ ( times_times_real @ X4 @ X6 ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_62])