---

Step * 1 1 of Lemma eager_product_map_cons_lemma


1. L : Top@i
2. as : Top@i
3. a : Top@i
4. f : Top@i
⊢ eager-map-append(f a;L;rec-case(as) of
                         [] => []
                         h::t =>
                          r.eager-map-append(f h;L;r)) ~ eager-map-append(f a;L;eager-product-map(f;as;L))
BY
{ Try (RW (AddrC [2] (UnfoldC `eager-product-map` ANDTHENC ReduceC)) 0)⋅ }

1
1. L : Top@i
2. as : Top@i
3. a : Top@i
4. f : Top@i
⊢ eager-map-append(f a;L;rec-case(as) of
                         [] => []
                         h::t =>
                          r.eager-map-append(f h;L;r)) ~ eager-map-append(f a;L;rec-case(as) of
                                                                                [] => []
                                                                                a::more_as =>
                                                                                 r.eager-map-append(f a;L;r))

---

Latex:

---

Latex:

1.  L  :  Top@i
2.  as  :  Top@i
3.  a  :  Top@i
4.  f  :  Top@i
\mvdash{}  eager-map-append(f  a;L;rec-case(as)  of
                                                  []  =>  []
                                                  h::t  =>
                                                    r.eager-map-append(f  h;L;r)) 
\msim{}  eager-map-append(f  a;L;eager-product-map(f;as;L))


By

---

Latex:
Try  (RW  (AddrC  [2]  (UnfoldC  `eager-product-map`  ANDTHENC  ReduceC))  0)\mcdot{}

---

Home Index