Proof Step: c_0_228

name: c_0_228 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_47 c_0_47 c_0_193 ⊖ ord_less_eq_real zero_zero_real X2472 ⊖ ord_less_eq_real zero_zero_real X2473 ⊕ ord_less_eq_real zero_zero_real times_times_real X2472 X2473 c_0_47->c_0_193 c_0_228 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X4 ⊖ ord_less_eq_real zero_zero_real X2 ⊖ ord_less_eq_real zero_zero_real X4 c_0_193->c_0_228 c_0_257 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X4 ⊖ ord_less_eq_real zero_zero_real X4 ⊖ ord_less_eq_real zero_zero_real X2 c_0_228->c_0_257

Input Dependencies

c_0_47

Assumptions

c_0_193

Conclusion

c_0_228

Dependents

c_0_257

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_193])