Proof Step: c_0_102

name: c_0_102 syntax: thf role: plain inference: distribute

Proof State Overview

proof_step c_0_13 c_0_13 c_0_102 c_0_102 c_0_13->c_0_102 c_0_115 ⊕ X1 = zero_zero_real ⊕ X5 = zero_zero_real ⊖ times_times_real X1 X5 = zero_zero_real c_0_102->c_0_115

Input Dependencies

c_0_13

Assumptions

c_0_13

Conclusion

c_0_102

Dependents

c_0_115

Formula

! [X2308: real,X2309: real] :
  ( ( ( ( times_times_real @ X2308 @ X2309 )
     != zero_zero_real )
    | ( X2308 = zero_zero_real )
    | ( X2309 = zero_zero_real ) )
  & ( ( X2308 != zero_zero_real )
    | ( ( times_times_real @ X2308 @ X2309 )
      = zero_zero_real ) )
  & ( ( X2309 != zero_zero_real )
    | ( ( times_times_real @ X2308 @ X2309 )
      = zero_zero_real ) ) )

Source

inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])