Step
*
2
of Lemma
no_repeats-permute
1. ∀T:Type. ∀as,bs:T List. (no_repeats(T;as @ bs)
⇒ no_repeats(T;bs @ as))
⊢ ∀[T:Type]. ∀[as,bs:T List]. uiff(no_repeats(T;as @ bs);no_repeats(T;bs @ as))
BY
{ Auto }
Latex:
Latex:
1. \mforall{}T:Type. \mforall{}as,bs:T List. (no\_repeats(T;as @ bs) {}\mRightarrow{} no\_repeats(T;bs @ as))
\mvdash{} \mforall{}[T:Type]. \mforall{}[as,bs:T List]. uiff(no\_repeats(T;as @ bs);no\_repeats(T;bs @ as))
By
Latex:
Auto
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