go: Phase 7 generics closed — types 102/102, +30 cleared, total 556/556 [shapes-static-types-bidirectional]

Canonical generic functions: Map, Filter, Reduce, First end-to-end
type-check + run. Plus 20+ typer-only shape tests covering Apply,
Compose, ToMap, Swap, Box, Triple, ToSlice, Take, Send, Fill, Eq,
Values, Pair, Inspect, etc. Index synth (slice/array/map →
element type) added to typer.

v0 limitations stamped in tests: SX `/` is float (no int mod
emulation), `var r []T` indistinguishable from unbound, single-name
constraints opaque (no type-set arithmetic).

Shape locked in: "the parser recognizes shapes, the validator
recognizes roles." Same AST + different role-validators = different
guest semantics. Diary documents this as the lemma the kit should
extract — three deliverables (binding-groups, control-flow sentinels,
index synthesis) now all instantiate it.

Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>

lib/go/types.sx

@@ -265,6 +265,19 @@
       ;; (:composite TYPE-OR-EXPR ELEMS) — composite literal
       (and (list? expr) (= (first expr) :composite))
       (go-synth-composite ctx (nth expr 1) (nth expr 2))
+      ;; (:index OBJ IDX) — slice/map/array element. v0: element type
+      ;; is the slice/array element type, or the map value type.
+      (and (list? expr) (= (first expr) :index))
+      (let ((obj-ty (go-synth ctx (nth expr 1))))
+        (cond
+          (go-type-error? obj-ty) obj-ty
+          (and (list? obj-ty) (= (first obj-ty) :ty-slice))
+          (nth obj-ty 1)
+          (and (list? obj-ty) (= (first obj-ty) :ty-array))
+          (nth obj-ty 2)
+          (and (list? obj-ty) (= (first obj-ty) :ty-map))
+          (nth obj-ty 2)
+          :else (list :type-error :index-not-indexable obj-ty)))
       :else (list :type-error :unsupported-synth expr))))
 
 (define