Proof Step: c_0_222

name: c_0_222 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_43 c_0_43 c_0_189 c_0_189 c_0_43->c_0_189 c_0_222 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X4 ⊖ ord_less_eq_real X2 zero_zero_real ⊖ ord_less_eq_real X4 zero_zero_real c_0_189->c_0_222 c_0_251 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X4 ⊖ ord_less_eq_real X4 zero_zero_real ⊖ ord_less_eq_real X2 zero_zero_real c_0_222->c_0_251

Input Dependencies

c_0_43

Assumptions

c_0_189

Conclusion

c_0_222

Dependents

c_0_251

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_189])