Proof Step: c_0_119

name: c_0_119 syntax: thf role: plain inference: variable_rename

Proof State Overview

proof_step c_0_17 ⊕ round_down = ? c_0_92 ⊕ round_down X2088 X2089 = times_times_real ring_1_of_int_real archim1031974863r_real times_times_real X2089 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X2088 powr_real numeral_numeral_real bit0 one uminus_uminus_real ring_1_of_int_real X2088 c_0_17->c_0_92 c_0_119 ⊕ round_down X2178 X2179 = times_times_real ring_1_of_int_real archim1031974863r_real times_times_real X2179 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X2178 powr_real numeral_numeral_real bit0 one uminus_uminus_real ring_1_of_int_real X2178 c_0_92->c_0_119 c_0_150 ⊕ round_down X1 X2 = times_times_real ring_1_of_int_real archim1031974863r_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 powr_real numeral_numeral_real bit0 one uminus_uminus_real ring_1_of_int_real X1 c_0_119->c_0_150

Input Dependencies

c_0_17

Assumptions

c_0_92

Conclusion

c_0_119

Dependents

c_0_150

Formula

! [X2178: int,X2179: real] :
  ( ( round_down @ X2178 @ X2179 )
  = ( times_times_real @ ( ring_1_of_int_real @ ( archim1031974863r_real @ ( times_times_real @ X2179 @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X2178 ) ) ) ) ) @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( uminus_uminus_real @ ( ring_1_of_int_real @ X2178 ) ) ) ) )

Source

inference(variable_rename,[status(thm)],[c_0_92])