Proof Step: c_0_127

name: c_0_127 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_9 c_0_9 c_0_105 ⊕ ord_less_eq_real X6 X4 ⊖ ord_less_eq_real X6 X2 ⊖ ord_less_eq_real X2 X4 c_0_9->c_0_105 c_0_127 ⊕ ord_less_eq_real X2 X4 ⊖ ord_less_eq_real X2 X6 ⊖ ord_less_eq_real X6 X4 c_0_105->c_0_127 c_0_157 ⊕ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 ⊖ ord_less_eq_int one_one_int X1 c_0_127->c_0_157 c_0_284 ⊕ ord_less_eq_real ring_1_of_int_real archim1031974863r_real X2 X4 ⊖ ord_less_eq_real X2 X4 c_0_127->c_0_284

Input Dependencies

c_0_9

Assumptions

c_0_105

Conclusion

c_0_127

Dependents

c_0_157 c_0_284

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_105])