Proof Step: c_0_179

name: c_0_179 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_34 c_0_34 c_0_147 c_0_147 c_0_34->c_0_147 c_0_179 c_0_179 c_0_147->c_0_179 c_0_214 ⊕ ord_less_eq_real X2 X4 ⊕ ord_less_real X4 X2 c_0_179->c_0_214

Input Dependencies

c_0_34

Assumptions

c_0_147

Conclusion

c_0_179

Dependents

c_0_214

Formula

! [X2683: real,X2684: real] :
  ( ( ( ord_less_eq_real @ X2683 @ X2684 )
    | ( ord_less_real @ X2684 @ X2683 ) )
  & ( ~ ( ord_less_real @ X2684 @ X2683 )
    | ~ ( ord_less_eq_real @ X2683 @ X2684 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_147])])