Proof Step: c_0_219

name: c_0_219 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_8 ⊕ real_of_float float2 X793 X794 = times_times_real ring_1_of_int_real X793 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X794 c_0_122 ⊕ times_times_real ring_1_of_int_real X1 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 = real_of_float float2 X1 X3 c_0_8->c_0_122 c_0_17 ⊕ round_down = ? c_0_184 ⊕ 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 = round_down X1 X2 c_0_17->c_0_184 c_0_18 ⊕ ring_1_of_int_real uminus_uminus_int X5 = uminus_uminus_real ring_1_of_int_real X5 c_0_185 ⊕ uminus_uminus_real ring_1_of_int_real X1 = ring_1_of_int_real uminus_uminus_int X1 c_0_18->c_0_185 c_0_219 ⊕ real_of_float float2 archim1031974863r_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 uminus_uminus_int X1 = round_down X1 X2 c_0_184->c_0_219 c_0_185->c_0_219 c_0_122->c_0_219 c_0_249 ⊕ real_of_float float2 archim1031974863r_real times_times_real X2 powr_real numeral_numeral_real bit0 one zero_zero_real zero_zero_int = round_down zero_zero_int X2 c_0_219->c_0_249

Input Dependencies

c_0_8 c_0_17 c_0_18

Assumptions

c_0_184 c_0_185 c_0_122

Conclusion

c_0_219

Dependents

c_0_249

Formula

! [X1: int,X2: real] :
  ( ( real_of_float @ ( float2 @ ( archim1031974863r_real @ ( times_times_real @ X2 @ ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X1 ) ) ) ) @ ( uminus_uminus_int @ X1 ) ) )
  = ( round_down @ X1 @ X2 ) )

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_184,c_0_185]),c_0_122])])