Proof Step: c_0_234

name: c_0_234 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_22 c_0_22 c_0_200 ⊕ X2 = X4 ⊖ ord_less_eq_real X4 X2 ⊖ ord_less_eq_real X2 X4 c_0_22->c_0_200 c_0_24 c_0_24 c_0_203 ⊕ ord_less_eq_real one_one_real powr_real X2 X4 ⊖ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real zero_zero_real X4 c_0_24->c_0_203 c_0_234 ⊕ powr_real X2 X4 = one_one_real ⊖ ord_less_eq_real powr_real X2 X4 one_one_real ⊖ ord_less_eq_real one_one_real X2 ⊖ ord_less_eq_real zero_zero_real X4 c_0_200->c_0_234 c_0_203->c_0_234 c_0_261 ⊕ powr_real numeral_numeral_real bit0 one zero_zero_real = one_one_real c_0_234->c_0_261

Input Dependencies

c_0_22 c_0_24

Assumptions

c_0_200 c_0_203

Conclusion

c_0_234

Dependents

c_0_261

Formula

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

Source

inference(evalgc,[status(thm)],[inference(spm,[status(thm)],[c_0_200,c_0_203])])