Step
*
1
1
of Lemma
bag-drop-no-repeats
1. T : Type
2. eq : EqDecider(T)
3. bs : bag(T)
4. x : T
5. bag-no-repeats(T;{x} + bag-drop(eq;bs;x))
6. bs = ({x} + bag-drop(eq;bs;x)) ∈ bag(T)
⊢ bag-no-repeats(T;bag-drop(eq;bs;x))
BY
{ (RWO "bag-no-repeats-append" (-2) THEN Auto) }
Latex:
Latex:
1. T : Type
2. eq : EqDecider(T)
3. bs : bag(T)
4. x : T
5. bag-no-repeats(T;\{x\} + bag-drop(eq;bs;x))
6. bs = (\{x\} + bag-drop(eq;bs;x))
\mvdash{} bag-no-repeats(T;bag-drop(eq;bs;x))
By
Latex:
(RWO "bag-no-repeats-append" (-2) THEN Auto)
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