Proof Step: c_0_157

name: c_0_157 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_27 c_0_27 c_0_136 ⊕ X2544 = zero_zero_real ⊕ divide_divide_real times_times_real X2545 X2544 times_times_real X2546 X2544 = divide_divide_real X2545 X2546 c_0_27->c_0_136 c_0_157 ⊕ X1 = zero_zero_real ⊕ divide_divide_real times_times_real X5 X1 times_times_real X6 X1 = divide_divide_real X5 X6 c_0_136->c_0_157 c_0_177 ⊕ X1 = zero_zero_real ⊕ divide_divide_real times_times_real X5 X1 times_times_real X6 X1 = divide_divide_real X5 X6 c_0_157->c_0_177

Input Dependencies

c_0_27

Assumptions

c_0_136

Conclusion

c_0_157

Dependents

c_0_177

Formula

! [X1: real,X5: real,X6: real] :
  ( ( X1 = zero_zero_real )
  | ( ( divide_divide_real @ ( times_times_real @ X5 @ X1 ) @ ( times_times_real @ X6 @ X1 ) )
    = ( divide_divide_real @ X5 @ X6 ) ) )

Source

inference(split_conjunct,[status(thm)],[c_0_136])