Proof Step: c_0_293

name: c_0_293 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_35 c_0_35 c_0_270 ⊕ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real X1 X6 ⊖ ord_less_eq_real X6 X5 c_0_35->c_0_270 c_0_36 c_0_36 c_0_271 ⊕ ord_less_eq_real divide_divide_real X1 X5 zero_zero_real ⊖ ord_less_eq_real X5 zero_zero_real ⊖ ord_less_eq_real zero_zero_real X1 c_0_36->c_0_271 c_0_293 ⊕ ord_less_eq_real divide_divide_real X1 X5 X6 ⊖ ord_less_eq_real zero_zero_real X6 ⊖ ord_less_eq_real X5 zero_zero_real ⊖ ord_less_eq_real zero_zero_real X1 c_0_270->c_0_293 c_0_271->c_0_293 c_0_310 ⊖ ord_less_eq_real zero_zero_real divide_divide_real pi semiri2110766477t_real n ⊖ ord_less_eq_real semiri2110766477t_real n zero_zero_real c_0_293->c_0_310

Input Dependencies

c_0_35 c_0_36

Assumptions

c_0_270 c_0_271

Conclusion

c_0_293

Dependents

c_0_310

Formula

! [X6: real,X5: real,X1: real] :
  ( ( ord_less_eq_real @ ( divide_divide_real @ X1 @ X5 ) @ X6 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X6 )
  | ~ ( ord_less_eq_real @ X5 @ zero_zero_real )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X1 ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_270,c_0_271])])