Proof Step: c_0_124

name: c_0_124 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_0 c_0_0 c_0_97 ⊕ X2 = zero_zero_real ⊖ power_power_real X2 X9 = zero_zero_real ⊖ ord_less_real zero_zero_real X2 c_0_0->c_0_97 c_0_1 c_0_1 c_0_1->c_0_97 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_98 ⊕ power_power_real numeral_numeral_real X8 numeral_numeral_nat X11 = powr_real numeral_numeral_real X8 numeral_numeral_real X11 c_0_2->c_0_98 c_0_3 ⊕ ord_less_real zero_zero_real numeral_numeral_real X11 c_0_99 ⊕ ord_less_real zero_zero_real numeral_numeral_real X8 c_0_3->c_0_99 c_0_4 ⊖ zero_zero_real = numeral_numeral_real X11 c_0_100 ⊖ numeral_numeral_real X8 = zero_zero_real c_0_4->c_0_100 c_0_124 ⊖ powr_real numeral_numeral_real X8 numeral_numeral_real X11 = zero_zero_real c_0_97->c_0_124 c_0_98->c_0_124 c_0_99->c_0_124 c_0_100->c_0_124 c_0_155 ⊕ powr_real numeral_numeral_real X8 zero_zero_real = one_one_real c_0_124->c_0_155

Input Dependencies

c_0_0 c_0_1 c_0_2 c_0_3 c_0_4

Assumptions

c_0_97 c_0_98 c_0_99 c_0_100

Conclusion

c_0_124

Dependents

c_0_155

Formula

! [X8: num,X11: num] :
  ( ( powr_real @ ( numeral_numeral_real @ X8 ) @ ( numeral_numeral_real @ X11 ) )
 != zero_zero_real )

Source

inference(evalgc,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_97,c_0_98]),c_0_99])]),c_0_100])])