Proof Step: c_0_74

name: c_0_74 syntax: thf role: plain inference: variable_rename

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

Input Dependencies

c_0_9

Assumptions

c_0_9

Conclusion

c_0_74

Dependents

c_0_86

Formula

! [X2113: real,X2114: real,X2115: real] :
  ( ( times_times_real @ X2113 @ ( divide_divide_real @ X2114 @ X2115 ) )
  = ( divide_divide_real @ ( times_times_real @ X2113 @ X2114 ) @ X2115 ) )

Source

inference(variable_rename,[status(thm)],[c_0_9])