Proof Step: c_0_273

name: c_0_273 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_42 c_0_42 c_0_246 ⊕ ord_less_eq_real X4 X6 ⊖ ord_less_real zero_zero_real X2 ⊖ ord_less_eq_real times_times_real X2 X4 times_times_real X2 X6 c_0_42->c_0_246 c_0_273 ⊕ ord_less_eq_real X2 X4 ⊖ ord_less_eq_real times_times_real X6 X2 times_times_real X6 X4 ⊖ ord_less_real zero_zero_real X6 c_0_246->c_0_273 c_0_296 ⊕ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real X4 times_times_real X4 X2 ⊖ ord_less_real zero_zero_real X4 c_0_273->c_0_296

Input Dependencies

c_0_42

Assumptions

c_0_246

Conclusion

c_0_273

Dependents

c_0_296

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_246])