Proof Step: c_0_190

name: c_0_190 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_43 c_0_43 c_0_190 c_0_190 c_0_43->c_0_190 c_0_222 ⊕ ord_less_nat X2 X7 ⊖ ord_less_real semiri2110766477t_real X2 semiri2110766477t_real X7 c_0_190->c_0_222

Input Dependencies

c_0_43

Assumptions

c_0_43

Conclusion

c_0_190

Dependents

c_0_222

Formula

! [X2968: nat,X2969: nat] :
  ( ( ~ ( ord_less_real @ ( semiri2110766477t_real @ X2968 ) @ ( semiri2110766477t_real @ X2969 ) )
    | ( ord_less_nat @ X2968 @ X2969 ) )
  & ( ~ ( ord_less_nat @ X2968 @ X2969 )
    | ( ord_less_real @ ( semiri2110766477t_real @ X2968 ) @ ( semiri2110766477t_real @ X2969 ) ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_43])])