Proof Step: c_0_86

name: c_0_86 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_9 c_0_9 c_0_73 ⊖ ord_less_eq_real X2632 X2633 ⊖ ord_less_eq_real X2634 X2632 ⊕ ord_less_eq_real X2634 X2633 c_0_9->c_0_73 c_0_86 ⊕ ord_less_eq_real X6 X4 ⊖ ord_less_eq_real X2 X4 ⊖ ord_less_eq_real X6 X2 c_0_73->c_0_86 c_0_105 ⊕ ord_less_eq_real X6 X4 ⊖ ord_less_eq_real X6 X2 ⊖ ord_less_eq_real X2 X4 c_0_86->c_0_105

Input Dependencies

c_0_9

Assumptions

c_0_73

Conclusion

c_0_86

Dependents

c_0_105

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_73])