Proof Step: c_0_148

name: c_0_148 syntax: thf role: plain inference: variable_rename

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_148 ⊕ round_down X2532 times_times_real X2533 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X2534 = times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X2534 round_down plus_plus_int X2532 X2534 X2533 c_0_35->c_0_148 c_0_182 ⊕ round_down X1 times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 = times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 round_down plus_plus_int X1 X3 X2 c_0_148->c_0_182

Input Dependencies

c_0_35

Assumptions

c_0_35

Conclusion

c_0_148

Dependents

c_0_182

Formula

! [X2532: int,X2533: real,X2534: int] :
  ( ( round_down @ X2532 @ ( times_times_real @ X2533 @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X2534 ) ) ) )
  = ( times_times_real @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X2534 ) ) @ ( round_down @ ( plus_plus_int @ X2532 @ X2534 ) @ X2533 ) ) )

Source

inference(variable_rename,[status(thm)],[c_0_35])