Proof Step: c_0_155

name: c_0_155 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_0 c_0_0 c_0_124 ⊖ powr_real numeral_numeral_real X8 numeral_numeral_real X11 = zero_zero_real c_0_0->c_0_124 c_0_1 c_0_1 c_0_1->c_0_124 c_0_2 ⊕ powr_real numeral_numeral_real X45 numeral_numeral_real X11 = power_power_real numeral_numeral_real X45 numeral_numeral_nat X11 c_0_2->c_0_124 c_0_3 ⊕ ord_less_real zero_zero_real numeral_numeral_real X11 c_0_3->c_0_124 c_0_4 ⊖ zero_zero_real = numeral_numeral_real X11 c_0_4->c_0_124 c_0_5 c_0_5 c_0_125 ⊕ powr_real X2 zero_zero_real = one_one_real ⊕ powr_real X2 X4 = zero_zero_real c_0_5->c_0_125 c_0_6 ⊕ powr_real powr_real X4 X6 X17 = powr_real X4 times_times_real X6 X17 c_0_6->c_0_125 c_0_7 ⊕ times_times_real X6 zero_zero_real = zero_zero_real c_0_7->c_0_125 c_0_155 ⊕ powr_real numeral_numeral_real X8 zero_zero_real = one_one_real c_0_124->c_0_155 c_0_125->c_0_155 c_0_188 ⊕ real_of_float float2 X1 zero_zero_int = ring_1_of_int_real X1 c_0_155->c_0_188 c_0_275 ⊕ round_down zero_zero_int X2 = ring_1_of_int_real archim1031974863r_real X2 c_0_155->c_0_275

Input Dependencies

c_0_0 c_0_1 c_0_2 c_0_3 c_0_4 c_0_5 c_0_6 c_0_7

Assumptions

c_0_124 c_0_125

Conclusion

c_0_155

Dependents

c_0_188 c_0_275

Formula

! [X8: num] :
  ( ( powr_real @ ( numeral_numeral_real @ X8 ) @ zero_zero_real )
  = one_one_real )

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_124,c_0_125])])