---

Step * of Lemma no_repeats_witness

∀[T:Type]. ∀[l:T List].  (no_repeats(T;l) ⇒ (λx.Ax ∈ no_repeats(T;l)))
BY
{ (Auto THEN ProveTrivialWitness THEN Auto THEN Fold `uall` 3 THEN InstHyp [⌜i⌝;⌜j⌝] 3⋅ THEN Auto) }

---

Latex:

---

Latex:
\mforall{}[T:Type].  \mforall{}[l:T  List].    (no\_repeats(T;l)  {}\mRightarrow{}  (\mlambda{}x.Ax  \mmember{}  no\_repeats(T;l)))


By

---

Latex:
(Auto  THEN  ProveTrivialWitness  THEN  Auto  THEN  Fold  `uall`  3  THEN  InstHyp  [\mkleeneopen{}i\mkleeneclose{};\mkleeneopen{}j\mkleeneclose{}]  3\mcdot{}  THEN  Auto)

---

Home Index