Proof Step: c_0_274

name: c_0_274 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_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_35->c_0_247 c_0_36 ⊕ plus_plus_int zero_zero_int X204 = X204 c_0_248 ⊕ plus_plus_int zero_zero_int X1 = X1 c_0_36->c_0_248 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 c_0_248->c_0_274 c_0_297 ⊕ times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 round_down X1 X2 = ring_1_of_int_real archim1031974863r_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 c_0_274->c_0_297

Input Dependencies

c_0_35 c_0_36

Assumptions

c_0_247 c_0_248

Conclusion

c_0_274

Dependents

c_0_297

Formula

! [X2: real,X1: int] :
  ( ( 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 ) ) ) ) )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_247,c_0_248])])