Proof Step: c_0_220

name: c_0_220 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_41 c_0_41 c_0_188 ⊖ ord_less_eq_real X2459 X2460 ⊖ ord_less_eq_real zero_zero_real X2461 ⊕ ord_less_eq_real times_times_real X2461 X2459 times_times_real X2461 X2460 c_0_41->c_0_188 c_0_220 ⊕ ord_less_eq_real times_times_real X6 X1 times_times_real X6 X5 ⊖ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X6 c_0_188->c_0_220 c_0_251 ⊕ ord_less_eq_real times_times_real X6 X1 times_times_real X6 X5 ⊖ ord_less_eq_real X1 X5 ⊖ ord_less_eq_real zero_zero_real X6 c_0_220->c_0_251

Input Dependencies

c_0_41

Assumptions

c_0_188

Conclusion

c_0_220

Dependents

c_0_251

Formula

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

Source

inference(split_conjunct,[status(thm)],[c_0_188])