Step
*
of Lemma
bsubmset_transitivity
∀s:DSet. ∀a,b,c:MSet{s}. ((↑(a ⊆b b))
⇒ (↑(b ⊆b c))
⇒ (↑(a ⊆b c)))
BY
{ ((RW mset_elimC 0) THENA Auto) }
1
∀s:DSet. ∀a,b,c:|s| List.
((↑(mk_mset(a) ⊆b mk_mset(b)))
⇒ (↑(mk_mset(b) ⊆b mk_mset(c)))
⇒ (↑(mk_mset(a) ⊆b mk_mset(c))))
Latex:
Latex:
\mforall{}s:DSet. \mforall{}a,b,c:MSet\{s\}. ((\muparrow{}(a \msubseteq{}\msubb{} b)) {}\mRightarrow{} (\muparrow{}(b \msubseteq{}\msubb{} c)) {}\mRightarrow{} (\muparrow{}(a \msubseteq{}\msubb{} c)))
By
Latex:
((RW mset\_elimC 0) THENA Auto)
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