Proof Step: c_0_298

name: c_0_298 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_43 c_0_43 c_0_276 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X4 ⊖ ord_less_eq_real X4 zero_zero_real ⊖ ord_less_eq_real X2 zero_zero_real c_0_43->c_0_276 c_0_44 ⊕ times_times_real times_times_real X6 X17 X18 = times_times_real X6 times_times_real X17 X18 c_0_277 ⊕ times_times_real times_times_real X2 X4 X6 = times_times_real X2 times_times_real X4 X6 c_0_44->c_0_277 c_0_298 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 times_times_real X4 X6 ⊖ ord_less_eq_real X6 zero_zero_real ⊖ ord_less_eq_real times_times_real X2 X4 zero_zero_real c_0_276->c_0_298 c_0_277->c_0_298 c_0_315 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 real_of_float float2 X1 X3 ⊖ ord_less_eq_real times_times_real ring_1_of_int_real X1 X2 zero_zero_real ⊖ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 zero_zero_real c_0_298->c_0_315

Input Dependencies

c_0_43 c_0_44

Assumptions

c_0_276 c_0_277

Conclusion

c_0_298

Dependents

c_0_315

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_277])])