Proof Step: c_0_247

name: c_0_247 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_35 ⊕ round_down X172 times_times_real X4 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X173 = times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X173 round_down plus_plus_int X172 X173 X4 c_0_217 ⊕ times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 round_down plus_plus_int X1 X3 X2 = round_down X1 times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 c_0_35->c_0_217 c_0_247 ⊕ times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 round_down plus_plus_int X3 X1 X2 = round_down X3 times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 c_0_217->c_0_247 c_0_274 ⊕ times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 round_down X1 X2 = round_down zero_zero_int times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 c_0_247->c_0_274

Input Dependencies

c_0_35

Assumptions

c_0_217

Conclusion

c_0_247

Dependents

c_0_274

Formula

! [X3: int,X2: real,X1: int] :
  ( ( times_times_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X1 ) ) @ ( round_down @ ( plus_plus_int @ X3 @ X1 ) @ X2 ) )
  = ( round_down @ X3 @ ( times_times_real @ X2 @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X1 ) ) ) ) )

Source

inference(evalgc,[status(thm)],[c_0_217])