Proof Step: c_0_214

name: c_0_214 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_37 c_0_37 c_0_184 ⊖ ord_less_eq_real X2483 X2484 ⊖ ord_less_eq_real zero_zero_real X2485 ⊕ ord_less_eq_real times_times_real X2483 X2485 times_times_real X2484 X2485 c_0_37->c_0_184 c_0_214 ⊕ ord_less_eq_real times_times_real X1 X6 times_times_real X5 X6 ⊖ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X6 c_0_184->c_0_214 c_0_245 ⊕ ord_less_eq_real times_times_real X1 X6 times_times_real X5 X6 ⊖ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X6 c_0_214->c_0_245

Input Dependencies

c_0_37

Assumptions

c_0_184

Conclusion

c_0_214

Dependents

c_0_245

Formula

! [X1: real,X5: real,X6: real] :
  ( ( ord_less_eq_real @ ( times_times_real @ X1 @ X6 ) @ ( times_times_real @ X5 @ X6 ) )
  | ~ ( ord_less_eq_real @ X1 @ X5 )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X6 ) )

Source

inference(split_conjunct,[status(thm)],[c_0_184])