Proof Step: c_0_300

name: c_0_300 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_43 c_0_43 c_0_279 ⊕ ord_less_eq_real zero_zero_real X2 ⊕ ord_less_eq_real X4 zero_zero_real ⊖ ord_less_eq_real zero_zero_real times_times_real X4 X2 c_0_43->c_0_279 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_300 ⊕ ord_less_eq_real times_times_real X2 X4 zero_zero_real ⊕ ord_less_eq_real zero_zero_real X6 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 times_times_real X4 X6 c_0_279->c_0_300 c_0_277->c_0_300 c_0_316 ⊕ ord_less_eq_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 zero_zero_real ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real X3 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 real_of_float float2 X3 X1 c_0_300->c_0_316

Input Dependencies

c_0_43 c_0_44

Assumptions

c_0_279 c_0_277

Conclusion

c_0_300

Dependents

c_0_316

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_279,c_0_277])])