Proof Step: c_0_216

name: c_0_216 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_42 c_0_42 c_0_181 c_0_181 c_0_42->c_0_181 c_0_216 ⊕ ord_less_eq_real X4 X6 ⊖ ord_less_eq_real times_times_real X2 X4 times_times_real X2 X6 ⊖ ord_less_real zero_zero_real X2 c_0_181->c_0_216 c_0_246 ⊕ ord_less_eq_real X4 X6 ⊖ ord_less_real zero_zero_real X2 ⊖ ord_less_eq_real times_times_real X2 X4 times_times_real X2 X6 c_0_216->c_0_246

Input Dependencies

c_0_42

Assumptions

c_0_181

Conclusion

c_0_216

Dependents

c_0_246

Formula

! [X6: real,X4: real,X2: real] :
  ( ( ord_less_eq_real @ X4 @ X6 )
  | ~ ( ord_less_eq_real @ ( times_times_real @ X2 @ X4 ) @ ( times_times_real @ X2 @ X6 ) )
  | ~ ( ord_less_real @ zero_zero_real @ X2 ) )

Source

inference(split_conjunct,[status(thm)],[c_0_181])