Proof Step: c_0_211

name: c_0_211 syntax: thf role: plain inference: split_conjunct

Proof State Overview

proof_step c_0_34 c_0_34 c_0_181 ⊖ ord_less_eq_real zero_zero_real X2049 ⊖ ord_less_eq_real X2049 pi ⊕ ord_less_eq_real zero_zero_real sin_real X2049 c_0_34->c_0_181 c_0_211 ⊕ ord_less_eq_real zero_zero_real sin_real X1 ⊖ ord_less_eq_real zero_zero_real X1 ⊖ ord_less_eq_real X1 pi c_0_181->c_0_211 c_0_241 ⊕ ord_less_eq_real zero_zero_real sin_real X1 ⊖ ord_less_eq_real X1 pi ⊖ ord_less_eq_real zero_zero_real X1 c_0_211->c_0_241

Input Dependencies

c_0_34

Assumptions

c_0_181

Conclusion

c_0_211

Dependents

c_0_241

Formula

! [X1: real] :
  ( ( ord_less_eq_real @ zero_zero_real @ ( sin_real @ X1 ) )
  | ~ ( ord_less_eq_real @ zero_zero_real @ X1 )
  | ~ ( ord_less_eq_real @ X1 @ pi ) )

Source

inference(split_conjunct,[status(thm)],[c_0_181])