Proof Step: c_0_204

name: c_0_204 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_5 c_0_5 c_0_101 ⊕ powr_real X2 zero_zero_real = one_one_real ⊕ X2 = zero_zero_real c_0_5->c_0_101 c_0_15 c_0_15 c_0_169 ⊕ ord_less_eq_real powr_real X2 X4 powr_real X6 X4 ⊖ ord_less_eq_real zero_zero_real X2 ⊖ ord_less_eq_real zero_zero_real X4 ⊖ ord_less_eq_real X2 X6 c_0_15->c_0_169 c_0_16 ⊕ ord_less_eq_real X6 X6 c_0_170 ⊕ ord_less_eq_real X2 X2 c_0_16->c_0_170 c_0_204 ⊕ ord_less_eq_real powr_real X2 zero_zero_real one_one_real ⊕ X4 = zero_zero_real ⊖ ord_less_eq_real zero_zero_real X2 ⊖ ord_less_eq_real X2 X4 c_0_169->c_0_204 c_0_101->c_0_204 c_0_170->c_0_204 c_0_235 ⊕ ord_less_eq_real powr_real numeral_numeral_real bit0 one zero_zero_real one_one_real c_0_204->c_0_235

Input Dependencies

c_0_5 c_0_15 c_0_16

Assumptions

c_0_169 c_0_101 c_0_170

Conclusion

c_0_204

Dependents

c_0_235

Formula

! [X2: real,X4: real] :
  ( ( ord_less_eq_real @ ( powr_real @ X2 @ zero_zero_real ) @ one_one_real )
  | ( X4 = zero_zero_real )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X2 )
  | ~ ( ord_less_eq_real @ X2 @ X4 ) )

Source

inference(evalgc,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_169,c_0_101]),c_0_170])])])