Proof Step: c_0_301

name: c_0_301 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_33 ⊕ times_times_real = ? c_0_268 ⊕ times_times_real X2 X4 = times_times_real X4 X2 c_0_33->c_0_268 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_268->c_0_301 c_0_122->c_0_301 c_0_316 ⊕ ord_less_eq_real times_times_real X2 powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 zero_zero_real ⊕ ord_less_eq_real zero_zero_real ring_1_of_int_real X3 ⊖ ord_less_eq_real zero_zero_real times_times_real X2 real_of_float float2 X3 X1 c_0_301->c_0_316

Input Dependencies

c_0_8 c_0_33

Assumptions

c_0_268 c_0_122

Conclusion

c_0_301

Dependents

c_0_316

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_122])])