Proof Step: c_0_188

name: c_0_188 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_41 c_0_41 c_0_188 ⊖ ord_less_eq_real X2459 X2460 ⊖ ord_less_eq_real zero_zero_real X2461 ⊕ ord_less_eq_real times_times_real X2461 X2459 times_times_real X2461 X2460 c_0_41->c_0_188 c_0_220 ⊕ ord_less_eq_real times_times_real X6 X1 times_times_real X6 X5 ⊖ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X6 c_0_188->c_0_220

Input Dependencies

c_0_41

Assumptions

c_0_41

Conclusion

c_0_188

Dependents

c_0_220

Formula

! [X2459: real,X2460: real,X2461: real] :
  ( ~ ( ord_less_eq_real @ X2459 @ X2460 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X2461 )
  | ( ord_less_eq_real @ ( times_times_real @ X2461 @ X2459 ) @ ( times_times_real @ X2461 @ X2460 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])