Proof Step: c_0_304

name: c_0_304 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step 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_47 c_0_47 c_0_282 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 X4 ⊖ ord_less_eq_real zero_zero_real X4 ⊖ ord_less_eq_real zero_zero_real X2 c_0_47->c_0_282 c_0_304 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 times_times_real X4 X6 ⊖ ord_less_eq_real zero_zero_real X6 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 X4 c_0_282->c_0_304 c_0_277->c_0_304 c_0_318 ⊕ ord_less_eq_real zero_zero_real times_times_real ring_1_of_int_real times_times_int X1 X3 X2 ⊖ ord_less_eq_real zero_zero_real ring_1_of_int_real times_times_int X1 X3 ⊖ ord_less_eq_real zero_zero_real X2 c_0_304->c_0_318

Input Dependencies

c_0_44 c_0_47

Assumptions

c_0_282 c_0_277

Conclusion

c_0_304

Dependents

c_0_318

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 @ zero_zero_real @ X6 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ ( times_times_real @ X2 @ X4 ) ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_282,c_0_277])])