Proof Step: c_0_86

name: c_0_86 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_9 ⊕ times_times_real X11 divide_divide_real X15 X40 = divide_divide_real times_times_real X11 X15 X40 c_0_74 ⊕ times_times_real X2113 divide_divide_real X2114 X2115 = divide_divide_real times_times_real X2113 X2114 X2115 c_0_9->c_0_74 c_0_86 ⊕ times_times_real X1 divide_divide_real X5 X6 = divide_divide_real times_times_real X1 X5 X6 c_0_74->c_0_86 c_0_94 ⊕ divide_divide_real times_times_real X1 X5 X6 = times_times_real X1 divide_divide_real X5 X6 c_0_86->c_0_94

Input Dependencies

c_0_9

Assumptions

c_0_74

Conclusion

c_0_86

Dependents

c_0_94

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_74])