Proof Step: c_0_225

name: c_0_225 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_225 ⊕ ord_less_eq_real X2 zero_zero_real ⊕ ord_less_eq_real zero_zero_real X4 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 X4 c_0_189->c_0_225 c_0_254 ⊕ ord_less_eq_real X2 zero_zero_real ⊕ ord_less_eq_real zero_zero_real X4 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 X4 c_0_225->c_0_254

Input Dependencies

c_0_43

Assumptions

c_0_189

Conclusion

c_0_225

Dependents

c_0_254

Formula

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

Source

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