Proof Step: c_0_303

name: c_0_303 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_41 c_0_41 c_0_279 ⊕ ord_less_eq_real times_times_real X1 X5 times_times_real X1 X6 ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X5 X6 c_0_41->c_0_279 c_0_42 ⊕ times_times_real X11 one_one_real = X11 c_0_280 ⊕ times_times_real X1 one_one_real = X1 c_0_42->c_0_280 c_0_303 ⊕ ord_less_eq_real X1 times_times_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real one_one_real X5 c_0_279->c_0_303 c_0_280->c_0_303 c_0_316 ⊕ ord_less_eq_real semiri2110766477t_real X2 semiri2110766477t_real times_times_nat X2 X7 ⊖ ord_less_eq_real one_one_real semiri2110766477t_real X7 c_0_303->c_0_316

Input Dependencies

c_0_41 c_0_42

Assumptions

c_0_279 c_0_280

Conclusion

c_0_303

Dependents

c_0_316

Formula

! [X1: real,X5: real] :
  ( ( ord_less_eq_real @ X1 @ ( times_times_real @ X1 @ X5 ) )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X1 )
  | ~ ( ord_less_eq_real @ one_one_real @ X5 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_280])])