Proof Step: c_0_187

name: c_0_187 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_40 c_0_40 c_0_187 c_0_187 c_0_40->c_0_187 c_0_218 ⊕ X1 = zero_zero_real ⊕ divide_divide_real times_times_real X1 X5 times_times_real X1 X6 = divide_divide_real X5 X6 c_0_187->c_0_218

Input Dependencies

c_0_40

Assumptions

c_0_40

Conclusion

c_0_187

Dependents

c_0_218

Formula

! [X2417: real,X2418: real,X2419: real] :
  ( ( ( X2417 != zero_zero_real )
    | ( ( divide_divide_real @ ( times_times_real @ X2417 @ X2418 ) @ ( times_times_real @ X2417 @ X2419 ) )
      = zero_zero_real ) )
  & ( ( X2417 = zero_zero_real )
    | ( ( divide_divide_real @ ( times_times_real @ X2417 @ X2418 ) @ ( times_times_real @ X2417 @ X2419 ) )
      = ( divide_divide_real @ X2418 @ X2419 ) ) ) )

Source

inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_40])])