Proof Step: c_0_135

name: c_0_135 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_22 c_0_22 c_0_111 c_0_111 c_0_22->c_0_111 c_0_135 ⊕ X2 = X4 ⊖ ord_less_eq_real X2 X4 ⊖ ord_less_eq_real X4 X2 c_0_111->c_0_135 c_0_165 ⊕ X2 = X4 ⊖ ord_less_eq_real X4 X2 ⊖ ord_less_eq_real X2 X4 c_0_135->c_0_165

Input Dependencies

c_0_22

Assumptions

c_0_111

Conclusion

c_0_135

Dependents

c_0_165

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_111])