Proof Step: c_0_223

name: c_0_223 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_44 ⊕ times_times_real times_times_real X6 X17 X18 = times_times_real X6 times_times_real X17 X18 c_0_190 ⊕ times_times_real times_times_real X2342 X2343 X2344 = times_times_real X2342 times_times_real X2343 X2344 c_0_44->c_0_190 c_0_223 ⊕ times_times_real times_times_real X2 X4 X6 = times_times_real X2 times_times_real X4 X6 c_0_190->c_0_223 c_0_252 ⊕ times_times_real times_times_real X2 X4 X6 = times_times_real X2 times_times_real X4 X6 c_0_223->c_0_252

Input Dependencies

c_0_44

Assumptions

c_0_190

Conclusion

c_0_223

Dependents

c_0_252

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_190])