---

Step * of Lemma bag-no-repeats-settype

∀[T:Type]. ∀[bs:bag(T)].  uiff(bag-no-repeats({x:T| x ↓∈ bs} ;bs);bag-no-repeats(T;bs)) supposing ∀x,y:T.  Dec(x = y ∈ T\000C)
BY
{ (Auto THEN Try ((BLemma `bag-settype` THEN Auto))) }

1
1. T : Type
2. bs : bag(T)
3. ∀x,y:T.  Dec(x = y ∈ T)
4. bag-no-repeats({x:T| x ↓∈ bs} ;bs)
⊢ bag-no-repeats(T;bs)

2
1. T : Type
2. bs : bag(T)
3. ∀x,y:T.  Dec(x = y ∈ T)
4. bag-no-repeats(T;bs)
⊢ bag-no-repeats({x:T| x ↓∈ bs} ;bs)

---

Latex:

---

Latex:
\mforall{}[T:Type].  \mforall{}[bs:bag(T)].    uiff(bag-no-repeats(\{x:T|  x  \mdownarrow{}\mmember{}  bs\}  ;bs);bag-no-repeats(T;bs))  supposing  \mforall{}x\000C,y:T.    Dec(x  =  y)


By

---

Latex:
(Auto  THEN  Try  ((BLemma  `bag-settype`  THEN  Auto)))

---

Home Index