Proof Step: c_0_184

name: c_0_184 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_37 c_0_37 c_0_184 ⊖ ord_less_eq_real X2483 X2484 ⊖ ord_less_eq_real zero_zero_real X2485 ⊕ ord_less_eq_real times_times_real X2483 X2485 times_times_real X2484 X2485 c_0_37->c_0_184 c_0_214 ⊕ ord_less_eq_real times_times_real X1 X6 times_times_real X5 X6 ⊖ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X6 c_0_184->c_0_214

Input Dependencies

c_0_37

Assumptions

c_0_37

Conclusion

c_0_184

Dependents

c_0_214

Formula

! [X2483: real,X2484: real,X2485: real] :
  ( ~ ( ord_less_eq_real @ X2483 @ X2484 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X2485 )
  | ( ord_less_eq_real @ ( times_times_real @ X2483 @ X2485 ) @ ( times_times_real @ X2484 @ X2485 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_37])])