Proof Step: c_0_278

name: c_0_278 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_45 ⊕ times_times_real X17 times_times_real X6 X18 = times_times_real X6 times_times_real X17 X18 c_0_253 ⊕ times_times_real X2 times_times_real X4 X6 = times_times_real X4 times_times_real X2 X6 c_0_45->c_0_253 c_0_278 ⊕ times_times_real X2 times_times_real X4 X6 = times_times_real X4 times_times_real X2 X6 c_0_253->c_0_278 c_0_299 ⊕ times_times_real ring_1_of_int_real X1 times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 = times_times_real X2 real_of_float float2 X1 X3 c_0_278->c_0_299 c_0_302 ⊕ ord_less_eq_real times_times_real X2 X4 zero_zero_real ⊕ ord_less_eq_real zero_zero_real X6 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 times_times_real X6 X4 c_0_278->c_0_302

Input Dependencies

c_0_45

Assumptions

c_0_253

Conclusion

c_0_278

Dependents

c_0_299 c_0_302

Formula

! [X2: real,X4: real,X6: real] :
  ( ( times_times_real @ X2 @ ( times_times_real @ X4 @ X6 ) )
  = ( times_times_real @ X4 @ ( times_times_real @ X2 @ X6 ) ) )

Source

inference(evalgc,[status(thm)],[c_0_253])