Proof Step: c_0_138

name: c_0_138 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_24 c_0_24 c_0_113 ⊖ ord_less_eq_real one_one_real X3498 ⊖ ord_less_eq_real zero_zero_real X3499 ⊕ ord_less_eq_real one_one_real powr_real X3498 X3499 c_0_24->c_0_113 c_0_138 ⊕ 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_113->c_0_138 c_0_168 ⊕ 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_138->c_0_168

Input Dependencies

c_0_24

Assumptions

c_0_113

Conclusion

c_0_138

Dependents

c_0_168

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_113])