Proof Step: c_0_215

name: c_0_215 syntax: thf role: plain inference: split_conjunct

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_185 ⊕ semiri2110766477t_real times_times_nat X2327 X2328 = times_times_real semiri2110766477t_real X2327 semiri2110766477t_real X2328 c_0_38->c_0_185 c_0_215 ⊕ semiri2110766477t_real times_times_nat X2 X7 = times_times_real semiri2110766477t_real X2 semiri2110766477t_real X7 c_0_185->c_0_215 c_0_246 ⊕ times_times_real semiri2110766477t_real X2 semiri2110766477t_real X7 = semiri2110766477t_real times_times_nat X2 X7 c_0_215->c_0_246

Input Dependencies

c_0_38

Assumptions

c_0_185

Conclusion

c_0_215

Dependents

c_0_246

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_185])