Proof Step: c_0_277

name: c_0_277 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_44 ⊕ times_times_real times_times_real X6 X17 X18 = times_times_real X6 times_times_real X17 X18 c_0_252 ⊕ times_times_real times_times_real X2 X4 X6 = times_times_real X2 times_times_real X4 X6 c_0_44->c_0_252 c_0_277 ⊕ times_times_real times_times_real X2 X4 X6 = times_times_real X2 times_times_real X4 X6 c_0_252->c_0_277 c_0_298 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 times_times_real X4 X6 ⊖ ord_less_eq_real X6 zero_zero_real ⊖ ord_less_eq_real times_times_real X2 X4 zero_zero_real c_0_277->c_0_298 c_0_300 ⊕ 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 X4 X6 c_0_277->c_0_300 c_0_303 ⊕ times_times_real ring_1_of_int_real X1 times_times_real ring_1_of_int_real X3 X2 = times_times_real ring_1_of_int_real times_times_int X1 X3 X2 c_0_277->c_0_303 c_0_304 ⊕ ord_less_eq_real zero_zero_real times_times_real X2 times_times_real X4 X6 ⊖ ord_less_eq_real zero_zero_real X6 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 X4 c_0_277->c_0_304

Input Dependencies

c_0_44

Assumptions

c_0_252

Conclusion

c_0_277

Dependents

c_0_298 c_0_300 c_0_303 c_0_304

Formula

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

Source

inference(evalgc,[status(thm)],[c_0_252])