Proof Step: c_0_113

name: c_0_113 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_24 c_0_24 c_0_113 ⊖ ord_less_eq_real one_one_real X3498 ⊖ ord_less_eq_real zero_zero_real X3499 ⊕ ord_less_eq_real one_one_real powr_real X3498 X3499 c_0_24->c_0_113 c_0_138 ⊕ ord_less_eq_real one_one_real powr_real X2 X4 ⊖ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real zero_zero_real X4 c_0_113->c_0_138

Input Dependencies

c_0_24

Assumptions

c_0_24

Conclusion

c_0_113

Dependents

c_0_138

Formula

! [X3498: real,X3499: real] :
  ( ~ ( ord_less_eq_real @ one_one_real @ X3498 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X3499 )
  | ( ord_less_eq_real @ one_one_real @ ( powr_real @ X3498 @ X3499 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_24])])