Step
*
of Lemma
single-valued-list-sv-bag
∀[A:Type]. ∀[L:A List]. single-valued-bag(L;A) supposing single-valued-list(L;A)
BY
{ (Auto THEN D 0 THEN Auto THEN Unfold `single-valued-list` 3 THEN BackThruSomeHyp THEN Fold `single-valued-list` 3) }
1
1. A : Type
2. L : A List
3. single-valued-list(L;A)
4. x : A@i
5. y : A@i
6. x ↓∈ L@i
7. y ↓∈ L@i
⊢ (x ∈ L)
2
1. A : Type
2. L : A List
3. single-valued-list(L;A)
4. x : A@i
5. y : A@i
6. x ↓∈ L@i
7. y ↓∈ L@i
⊢ (y ∈ L)
Latex:
Latex:
\mforall{}[A:Type]. \mforall{}[L:A List]. single-valued-bag(L;A) supposing single-valued-list(L;A)
By
Latex:
(Auto
THEN D 0
THEN Auto
THEN Unfold `single-valued-list` 3
THEN BackThruSomeHyp
THEN Fold `single-valued-list` 3)
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