Proof Step: c_0_109

name: c_0_109 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_20 c_0_20 c_0_109 c_0_109 c_0_20->c_0_109 c_0_131 ⊕ ord_less_eq_int X1 archim1031974863r_real X2 ⊖ ord_less_eq_real ring_1_of_int_real X1 X2 c_0_109->c_0_131

Input Dependencies

c_0_20

Assumptions

c_0_20

Conclusion

c_0_109

Dependents

c_0_131

Formula

! [X2784: int,X2785: real] :
  ( ( ~ ( ord_less_eq_int @ X2784 @ ( archim1031974863r_real @ X2785 ) )
    | ( ord_less_eq_real @ ( ring_1_of_int_real @ X2784 ) @ X2785 ) )
  & ( ~ ( ord_less_eq_real @ ( ring_1_of_int_real @ X2784 ) @ X2785 )
    | ( ord_less_eq_int @ X2784 @ ( archim1031974863r_real @ X2785 ) ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_20])])