Proof Step: c_0_213

name: c_0_213 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_36 c_0_36 c_0_183 ⊖ ord_less_eq_real zero_zero_real X2306 ⊖ ord_less_eq_real X2307 zero_zero_real ⊕ ord_less_eq_real divide_divide_real X2306 X2307 zero_zero_real c_0_36->c_0_183 c_0_213 ⊕ ord_less_eq_real divide_divide_real X1 X5 zero_zero_real ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X5 zero_zero_real c_0_183->c_0_213 c_0_243 ⊕ ord_less_eq_real divide_divide_real X1 X5 zero_zero_real ⊖ ord_less_eq_real X5 zero_zero_real ⊖ ord_less_eq_real zero_zero_real X1 c_0_213->c_0_243

Input Dependencies

c_0_36

Assumptions

c_0_183

Conclusion

c_0_213

Dependents

c_0_243

Formula

! [X1: real,X5: real] :
  ( ( ord_less_eq_real @ ( divide_divide_real @ X1 @ X5 ) @ zero_zero_real )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X1 )
  | ~ ( ord_less_eq_real @ X5 @ zero_zero_real ) )

Source

inference(split_conjunct,[status(thm)],[c_0_183])