Proof Step: c_0_304

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

Proof State Overview

proof_step c_0_43 c_0_43 c_0_281 ⊕ ord_less_nat X2 X7 ⊖ ord_less_real semiri2110766477t_real X2 semiri2110766477t_real X7 c_0_43->c_0_281 c_0_50 ⊕ semiri2110766477t_real one_one_nat = one_one_real c_0_282 ⊕ semiri2110766477t_real one_one_nat = one_one_real c_0_50->c_0_282 c_0_304 ⊕ ord_less_nat X2 one_one_nat ⊖ ord_less_real semiri2110766477t_real X2 one_one_real c_0_281->c_0_304 c_0_282->c_0_304 c_0_317 ⊕ ord_less_nat X2 one_one_nat ⊕ ord_less_eq_real one_one_real semiri2110766477t_real X2 c_0_304->c_0_317

Input Dependencies

c_0_43 c_0_50

Assumptions

c_0_281 c_0_282

Conclusion

c_0_304

Dependents

c_0_317

Formula

! [X2: nat] :
  ( ( ord_less_nat @ X2 @ one_one_nat )
  | ~ ( ord_less_real @ ( semiri2110766477t_real @ X2 ) @ one_one_real ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_282])])