Proof Step: c_0_274

name: c_0_274 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_246 ⊕ times_times_real semiri2110766477t_real X2 semiri2110766477t_real X7 = semiri2110766477t_real times_times_nat X2 X7 c_0_38->c_0_246 c_0_274 ⊕ times_times_real semiri2110766477t_real X2 semiri2110766477t_real X7 = semiri2110766477t_real times_times_nat X2 X7 c_0_246->c_0_274 c_0_297 ⊕ times_times_real semiri2110766477t_real X2 divide_divide_real X1 semiri2110766477t_real times_times_nat X2 X2 = divide_divide_real X1 semiri2110766477t_real X2 c_0_274->c_0_297 c_0_300 ⊕ times_times_real semiri2110766477t_real X2 divide_divide_real semiri2110766477t_real X7 X1 = divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 c_0_274->c_0_300 c_0_315 ⊕ ord_less_eq_real zero_zero_real divide_divide_real semiri2110766477t_real times_times_nat X2 X7 X1 ⊖ ord_less_eq_real zero_zero_real X1 c_0_274->c_0_315 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_274->c_0_316 c_0_318 ⊕ semiri2110766477t_real X2 = zero_zero_real ⊕ semiri2110766477t_real X7 = zero_zero_real ⊖ semiri2110766477t_real times_times_nat X7 X2 = zero_zero_real c_0_274->c_0_318

Input Dependencies

c_0_38

Assumptions

c_0_246

Conclusion

c_0_274

Dependents

c_0_297 c_0_300 c_0_315 c_0_316 c_0_318

Formula

! [X2: nat,X7: nat] :
  ( ( times_times_real @ ( semiri2110766477t_real @ X2 ) @ ( semiri2110766477t_real @ X7 ) )
  = ( semiri2110766477t_real @ ( times_times_nat @ X2 @ X7 ) ) )

Source

inference(evalgc,[status(thm)],[c_0_246])