Step
*
of Lemma
member-eclass-iff-size
∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E]. (↑e ∈b X
⇐⇒ 0 < #(X es e))
BY
{ (Unfold `member-eclass` 0
THEN Auto
THEN (RW assert_pushdownC 0 THENA Auto)
THEN (RW assert_pushdownC (-1) THENA Auto)
THEN Auto') }
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E]. (\muparrow{}e \mmember{}\msubb{} X \mLeftarrow{}{}\mRightarrow{} 0 < \#(X es e))
By
(Unfold `member-eclass` 0
THEN Auto
THEN (RW assert\_pushdownC 0 THENA Auto)
THEN (RW assert\_pushdownC (-1) THENA Auto)
THEN Auto')
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