Proof Step: c_0_295

name: c_0_295 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_28 ⊕ ring_1_of_int_real one_one_int = one_one_real c_0_196 ⊕ ring_1_of_int_real one_one_int = one_one_real c_0_28->c_0_196 c_0_41 ⊕ times_times_real one_one_real X6 = X6 c_0_272 ⊕ times_times_real one_one_real X2 = X2 c_0_41->c_0_272 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_196->c_0_295 c_0_272->c_0_295 c_0_313 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 zero_zero_real ⊕ ord_less_float zero_zero_float float2 one_one_int X1 c_0_295->c_0_313 c_0_320 ⊕ ord_less_real zero_zero_real powr_real numeral_numeral_real bit0 one ring_1_of_int_real X1 ⊖ ord_less_float zero_zero_float float2 one_one_int X1 c_0_295->c_0_320

Input Dependencies

c_0_8 c_0_28 c_0_41

Assumptions

c_0_122 c_0_196 c_0_272

Conclusion

c_0_295

Dependents

c_0_313 c_0_320

Formula

! [X1: int] :
  ( ( real_of_float @ ( float2 @ one_one_int @ X1 ) )
  = ( powr_real @ ( numeral_numeral_real @ ( bit0 @ one ) ) @ ( ring_1_of_int_real @ X1 ) ) )

Source

inference(evalgc,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_122,c_0_196]),c_0_272])])