Proof Step: c_0_122

name: c_0_122 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_95 ⊕ 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_95 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_95->c_0_122 c_0_154 ⊕ times_times_real ring_1_of_int_real X1 powr_real numeral_numeral_real bit0 one zero_zero_real = real_of_float float2 X1 zero_zero_int c_0_122->c_0_154 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_122->c_0_219 c_0_295 ⊕ real_of_float float2 one_one_int X1 = powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 c_0_122->c_0_295 c_0_299 ⊕ times_times_real ring_1_of_int_real X1 times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X3 = times_times_real X2 real_of_float float2 X1 X3 c_0_122->c_0_299 c_0_301 ⊕ times_times_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 ring_1_of_int_real X3 = real_of_float float2 X3 X1 c_0_122->c_0_301

Input Dependencies

c_0_8

Assumptions

c_0_95

Conclusion

c_0_122

Dependents

c_0_154 c_0_219 c_0_295 c_0_299 c_0_301

Formula

! [X1: int,X3: int] :
  ( ( 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 ) ) )

Source

inference(evalgc,[status(thm)],[c_0_95])