Proof Step: c_0_197

name: c_0_197 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_16 ⊕ divide_divide_real minus_minus_real X11 X15 X40 = minus_minus_real divide_divide_real X11 X40 divide_divide_real X15 X40 c_0_165 ⊕ minus_minus_real divide_divide_real X1 X5 divide_divide_real X6 X5 = divide_divide_real minus_minus_real X1 X6 X5 c_0_16->c_0_165 c_0_17 ⊕ divide_divide_real zero_zero_real X11 = zero_zero_real c_0_166 ⊕ divide_divide_real zero_zero_real X1 = zero_zero_real c_0_17->c_0_166 c_0_18 ⊕ minus_minus_real zero_zero_real X11 = uminus_uminus_real X11 c_0_167 ⊕ minus_minus_real zero_zero_real X1 = uminus_uminus_real X1 c_0_18->c_0_167 c_0_18->c_0_167 c_0_197 ⊕ uminus_uminus_real divide_divide_real X5 X1 = divide_divide_real uminus_uminus_real X5 X1 c_0_165->c_0_197 c_0_166->c_0_197 c_0_167->c_0_197 c_0_167->c_0_197 c_0_227 ⊕ times_times_real X1 divide_divide_real uminus_uminus_real X5 uminus_uminus_real X1 = X5 ⊕ uminus_uminus_real X1 = zero_zero_real c_0_197->c_0_227 c_0_228 ⊕ divide_divide_real uminus_uminus_real X1 X5 = divide_divide_real X1 uminus_uminus_real X5 c_0_197->c_0_228

Input Dependencies

c_0_16 c_0_17 c_0_18

Assumptions

c_0_165 c_0_166 c_0_167 c_0_167

Conclusion

c_0_197

Dependents

c_0_227 c_0_228

Formula

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

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_165,c_0_166]),c_0_167]),c_0_167])])