Proof Step: c_0_169

name: c_0_169 syntax: thf role: plain inference: evalgc

Proof State Overview

proof_step c_0_15 c_0_15 c_0_139 ⊕ ord_less_eq_real powr_real X4 X2 powr_real X6 X2 ⊖ ord_less_eq_real X4 X6 ⊖ ord_less_eq_real zero_zero_real X4 ⊖ ord_less_eq_real zero_zero_real X2 c_0_15->c_0_139 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_139->c_0_169 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

Input Dependencies

c_0_15

Assumptions

c_0_139

Conclusion

c_0_169

Dependents

c_0_204

Formula

! [X2: real,X4: real,X6: real] :
  ( ( 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 ) )

Source

inference(evalgc,[status(thm)],[c_0_139])