Proof Step: c_0_281

name: c_0_281 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_46 ⊕ ring_1_of_int_real times_times_int X31 X5 = times_times_real ring_1_of_int_real X31 ring_1_of_int_real X5 c_0_256 ⊕ times_times_real ring_1_of_int_real X1 ring_1_of_int_real X3 = ring_1_of_int_real times_times_int X1 X3 c_0_46->c_0_256 c_0_281 ⊕ times_times_real ring_1_of_int_real X1 ring_1_of_int_real X3 = ring_1_of_int_real times_times_int X1 X3 c_0_256->c_0_281 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_281->c_0_303 c_0_318 ⊕ ord_less_eq_real zero_zero_real times_times_real ring_1_of_int_real times_times_int X1 X3 X2 ⊖ ord_less_eq_real zero_zero_real ring_1_of_int_real times_times_int X1 X3 ⊖ ord_less_eq_real zero_zero_real X2 c_0_281->c_0_318 c_0_324 ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real times_times_int X1 X1 c_0_281->c_0_324

Input Dependencies

c_0_46

Assumptions

c_0_256

Conclusion

c_0_281

Dependents

c_0_303 c_0_318 c_0_324

Formula

! [X1: int,X3: int] :
  ( ( times_times_real @ ( ring_1_of_int_real @ X1 ) @ ( ring_1_of_int_real @ X3 ) )
  = ( ring_1_of_int_real @ ( times_times_int @ X1 @ X3 ) ) )

Source

inference(evalgc,[status(thm)],[c_0_256])