Metamath Proof Explorer


Theorem elico1

Description: Membership in a closed-below, open-above interval of extended reals. (Contributed by NM, 24-Dec-2006) (Revised by Mario Carneiro, 3-Nov-2013)

Ref Expression
Assertion elico1 A*B*CABC*ACC<B

Proof

Step Hyp Ref Expression
1 df-ico .=x*,y*z*|xzz<y
2 1 elixx1 A*B*CABC*ACC<B