Proof Step: c_0_181

name: c_0_181 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_34 c_0_34 c_0_181 ⊖ ord_less_eq_real zero_zero_real X2049 ⊖ ord_less_eq_real X2049 pi ⊕ ord_less_eq_real zero_zero_real sin_real X2049 c_0_34->c_0_181 c_0_211 ⊕ ord_less_eq_real zero_zero_real sin_real X1 ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X1 pi c_0_181->c_0_211

Input Dependencies

c_0_34

Assumptions

c_0_34

Conclusion

c_0_181

Dependents

c_0_211

Formula

! [X2049: real] :
  ( ~ ( ord_less_eq_real @ zero_zero_real @ X2049 )
  | ~ ( ord_less_eq_real @ X2049 @ pi )
  | ( ord_less_eq_real @ zero_zero_real @ ( sin_real @ X2049 ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_34])])