Proof Step: c_0_316

name: c_0_316 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_38 ⊕ semiri2110766477t_real times_times_nat X14 X23 = times_times_real semiri2110766477t_real X14 semiri2110766477t_real X23 c_0_274 ⊕ times_times_real semiri2110766477t_real X2 semiri2110766477t_real X7 = semiri2110766477t_real times_times_nat X2 X7 c_0_38->c_0_274 c_0_41 c_0_41 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_41->c_0_303 c_0_42 ⊕ times_times_real X11 one_one_real = X11 c_0_42->c_0_303 c_0_49 ⊕ ord_less_eq_real zero_zero_real semiri2110766477t_real X23 c_0_301 ⊕ ord_less_eq_real zero_zero_real semiri2110766477t_real X2 c_0_49->c_0_301 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 c_0_274->c_0_316 c_0_301->c_0_316 c_0_323 ⊕ $false c_0_316->c_0_323

Input Dependencies

c_0_38 c_0_41 c_0_42 c_0_49

Assumptions

c_0_303 c_0_274 c_0_301

Conclusion

c_0_316

Dependents

c_0_323

Formula

! [X2: nat,X7: nat] :
  ( ( ord_less_eq_real @ ( semiri2110766477t_real @ X2 ) @ ( semiri2110766477t_real @ ( times_times_nat @ X2 @ X7 ) ) )
  | ~ ( ord_less_eq_real @ one_one_real @ ( semiri2110766477t_real @ X7 ) ) )

Source

inference(evalgc,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_303,c_0_274]),c_0_301])])])