Step * of Lemma bag-member-size

[T:Type]. ∀[bs:bag(T)]. ∀[x:T].  0 < #(bs) supposing x ↓∈ bs
BY
(Auto THEN RWO "bag-size-bag-member" THEN Auto THEN THEN With ⌜x⌝ (D 0)⋅ THEN Auto) }


Latex:


Latex:
\mforall{}[T:Type].  \mforall{}[bs:bag(T)].  \mforall{}[x:T].    0  <  \#(bs)  supposing  x  \mdownarrow{}\mmember{}  bs


By


Latex:
(Auto  THEN  RWO  "bag-size-bag-member"  0  THEN  Auto  THEN  D  0  THEN  With  \mkleeneopen{}x\mkleeneclose{}  (D  0)\mcdot{}  THEN  Auto)




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