Proof Step: c_0_152

name: c_0_152 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_14 ⊕ times_times_real X15 times_times_real X11 X40 = times_times_real X11 times_times_real X15 X40 c_0_132 ⊕ times_times_real X1 times_times_real X5 X6 = times_times_real X5 times_times_real X1 X6 c_0_14->c_0_132 c_0_152 ⊕ times_times_real X1 times_times_real X5 X6 = times_times_real X5 times_times_real X1 X6 c_0_132->c_0_152 c_0_170 ⊕ times_times_real X1 X5 = zero_zero_real ⊕ X6 = zero_zero_real ⊖ times_times_real X1 times_times_real X6 X5 = zero_zero_real c_0_152->c_0_170 c_0_171 ⊕ times_times_real esk1_0 times_times_real X1 divide_divide_real pi esk1_0 = times_times_real X1 pi c_0_152->c_0_171

Input Dependencies

c_0_14

Assumptions

c_0_132

Conclusion

c_0_152

Dependents

c_0_170 c_0_171

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_132])