59−The inference fragment supports fixed auras, unrestricted `@`, one-way widening into it and toward aura-family ancestors, generic variables and gates, faced and unfaced cells, cell sample binders, known record field reads, a cell pattern of two or more binders, a complete two-arm loobean branch, a complete two-arm unit-shaped branch, closed local mold aliases and acyclic forward value references. For a supported single syntactic top-level recursive gate, the checker infers the sample first and uses that exact sample, including its field faces, in a monomorphic self placeholder. The completed body must unify with the placeholder before the gate is generalized; incompatible recursive arguments can report the call and argument sites. Uses of generalized top-level definitions instantiate their schemes independently. For a complete loobean branch with one direct self-call arm, the checker can infer the other arm independently and use its closed, fully resolved type to seed the recursive result; it then checks the whole body. Open or pending base types do not seed the result, and other branch shapes still depend on the existing partial inference. A supported single local recursive gate also uses a monomorphic self reference while its body is checked, then generalizes variables free of its enclosing environment; captured variables remain shared. Acyclic local value definitions can refer forward. When the remaining local definitions stop making progress and no cyclic group applies, the earliest of them whose definite error no order of the siblings could change reports it; otherwise the generic message remains. A definite error names sites, except an uncertain type hole, which names its site but is unsupported. A sibling can change another's result through a type variable the locals share, such as one in an untyped sample of the enclosing gate: a sibling's cast of the sample to `!!` makes every cast of it fit. So the error of a local that names no sibling and nothing whose type has a shared variable always counts. Another local's error counts only if no sibling had bound or refined a shared variable when it was tried and every other waiting definition also failed with sites, since one that waits without them, on a checker limit, a pending tag or its own nested stall, might in another order constrain the shared variable. In that case every definition is inferred against the same state in every order. A definition that infers but is then rejected as unsupported, such as for an uncertain type hole or a capital forced to a concrete type, reports its own message. Errors found while a cyclic group is inferred together are dropped, so a mutual group whose error comes after the call to its partner keeps the generic message. The checker collects written capitals per `++` before inference, excluding nested definitions: a capital used in an enclosing definition is shared with its locals, even when written later, while a capital introduced only in a local definition is generalized there. Sibling locals can introduce independent capitals with the same spelling; generic mold parameters keep their own scope. Top-level groups of syntactic gates are inferred together with monomorphic placeholders and shared substitutions, then generalized only after the whole group checks; downstream uses and library interfaces instantiate those schemes independently. A dependency graph identifies groups with two iterative depth-first passes; its conservative local-reference edges can reject otherwise valid programs. Supported local mutually recursive gate groups also use shared monomorphic placeholders and generalize only after the group checks, preserving captured outer variables. Some proven non-gate value cycles are diagnosed; other mixed gate/value cycles, polymorphic recursion, unresolved literal constraints and unresolved branch joins remain unsupported. Acyclic simple local mold aliases can also refer forward, and are scoped to the body, not its gate's sample. Nonrecursive generic aliases of supported molds can be applied at exact arity, including locally and through library interfaces; their parameters are lexical. Closed, provably disjoint nonrecursive unions and tagged single-case molds support contextual term values, `~` and `|=%tag` constructors. Literal heads compare by their runtime noun, so `|=%$` can construct an explicit null-, loobean-zero- or term-zero-headed case. Equal heads with distinct payloads can be selected when exactly one payload fit is proven; unknown or ambiguous alternatives remain unsupported. Unresolved tags and nulls remain pending, with distinct partial-inference diagnostics. Nonrecursive top-level generic union molds with provably disjoint cases also support contextual tags and constructors at exact arity; their arguments are retained through generalization and supported library interfaces. Nonrecursive generic aliases can reorder, repeat or omit parameters while preserving a supported union’s origin, including through local scopes and library interfaces. Generic unions declared directly inside a body and recursive molds outside the source-proven slices described below remain unsupported. A directly known named union can instantiate an unconstrained generic gate sample while retaining its origin, generic arguments and faces. Unnamed, pending-tag, recursive, unknown-atom and variable-bound union origins remain unsupported. A value with type variable `A` can fit a field whose type is that same `A`, including in generic union payloads and nested or repeated record fields. A differing-variable face constraint remains unsupported. When inference forces two distinct explicitly written capitals equal, it reports both source sites; forcing a capital to a concrete type remains unsupported in this fragment. It can infer and generalize atom constraints arising from explicit capitals or bare sample binders, preserve those constraints through aliases, instantiate them independently, and print multiple constraints. Unresolved decimal variables default to `@ud` for inferred types without gates; defaulting inside gate types and other constraint cases remain incomplete. It does not yet check a module, complete imports, general patterns, general deferred constraints, recursive molds, dependency cycles or most errors with both conflicting excerpts. Definite cast and call mismatches, incompatible branches and overlapping union cases report both sites and excerpts. Concrete branch results can join at an explicitly present parent aura or `@`. Some known tuple and record positions acquire matching faces; other variable-dependent face merges, general branch tag context and ambiguous call-result propagation remain unsupported; function compatibility involving nested `@` and variable-dependent joins remain unsupported except for equal types and the source-bound gate-sample proof below. For a single recursive gate outside a group, the reporting path repeats inference rather than instantiating its generalized interface inside its own body; a group report uses its stored schemes. This adds work, and the current dependency pass can take quadratic time on long forward chains; the milestone's speed target remains unverified. A separate conservative pass reports unions whose cases are provably disjoint or overlapping and leaves other cases unresolved; it does not claim the mold is checked. Unsupported forms are reported as such, and the partial output says the module has not been checked.
59+The inference fragment supports fixed auras, unrestricted `@`, one-way widening into it and toward aura-family ancestors, generic variables and gates, faced and unfaced cells, cell sample binders, known record field reads, a cell pattern of two or more binders, a complete two-arm loobean branch, a complete two-arm unit-shaped branch, closed local mold aliases and acyclic forward value references. For a supported single syntactic top-level recursive gate, the checker infers the sample first and uses that exact sample, including its field faces, in a monomorphic self placeholder. The completed body must unify with the placeholder before the gate is generalized; incompatible recursive arguments can report the call and argument sites. Uses of generalized top-level definitions instantiate their schemes independently. For a complete loobean branch with one direct self-call arm, the checker can infer the other arm independently and use its closed, fully resolved type to seed the recursive result; it then checks the whole body. Open or pending base types do not seed the result, and other branch shapes still depend on the existing partial inference. A supported single local recursive gate also uses a monomorphic self reference while its body is checked, then generalizes variables free of its enclosing environment; captured variables remain shared. Acyclic local value definitions can refer forward. When the remaining local definitions stop making progress and no cyclic group applies, the earliest of them whose definite error no order of the siblings could change reports it; otherwise the generic message remains. A definite error names sites, except an uncertain type hole, which names its site but is unsupported. A sibling can change another's result through a type variable the locals share, such as one in an untyped sample of the enclosing gate: a sibling's cast of the sample to `!!` makes every cast of it fit. So the error of a local that names no sibling and nothing whose type has a shared variable always counts. Another local's error counts only if no sibling had bound or refined a shared variable when it was tried and every other waiting definition also failed with sites, since one that waits without them, on a checker limit, a pending tag or its own nested stall, might in another order constrain the shared variable. In that case every definition is inferred against the same state in every order. A definition that infers but is then rejected as unsupported, such as for an uncertain type hole or a capital forced to a concrete type, reports its own message. Errors found while a cyclic group is inferred together are dropped, so a mutual group whose error comes after the call to its partner keeps the generic message. The checker collects written capitals per `++` before inference, excluding nested definitions: a capital used in an enclosing definition is shared with its locals, even when written later, while a capital introduced only in a local definition is generalized there. Sibling locals can introduce independent capitals with the same spelling; generic mold parameters keep their own scope. Top-level groups of syntactic gates are inferred together with monomorphic placeholders and shared substitutions, then generalized only after the whole group checks; downstream uses and library interfaces instantiate those schemes independently. A dependency graph identifies groups with two iterative depth-first passes; its conservative local-reference edges can reject otherwise valid programs. Top-level definitions are inferred in the order of the same graph's components, dependencies first, so a chain of forward references resolves in one pass; the checker repeats passes while one adds a definition, as a fallback. Supported local mutually recursive gate groups also use shared monomorphic placeholders and generalize only after the group checks, preserving captured outer variables. Some proven non-gate value cycles are diagnosed; other mixed gate/value cycles, polymorphic recursion, unresolved literal constraints and unresolved branch joins remain unsupported. Acyclic simple local mold aliases can also refer forward, and are scoped to the body, not its gate's sample. Nonrecursive generic aliases of supported molds can be applied at exact arity, including locally and through library interfaces; their parameters are lexical. Closed, provably disjoint nonrecursive unions and tagged single-case molds support contextual term values, `~` and `|=%tag` constructors. Literal heads compare by their runtime noun, so `|=%$` can construct an explicit null-, loobean-zero- or term-zero-headed case. Equal heads with distinct payloads can be selected when exactly one payload fit is proven; unknown or ambiguous alternatives remain unsupported. Unresolved tags and nulls remain pending, with distinct partial-inference diagnostics. Nonrecursive top-level generic union molds with provably disjoint cases also support contextual tags and constructors at exact arity; their arguments are retained through generalization and supported library interfaces. Nonrecursive generic aliases can reorder, repeat or omit parameters while preserving a supported union’s origin, including through local scopes and library interfaces. Generic unions declared directly inside a body and recursive molds outside the source-proven slices described below remain unsupported. A directly known named union can instantiate an unconstrained generic gate sample while retaining its origin, generic arguments and faces. Unnamed, pending-tag, recursive, unknown-atom and variable-bound union origins remain unsupported. A value with type variable `A` can fit a field whose type is that same `A`, including in generic union payloads and nested or repeated record fields. A differing-variable face constraint remains unsupported. When inference forces two distinct explicitly written capitals equal, it reports both source sites; forcing a capital to a concrete type remains unsupported in this fragment. It can infer and generalize atom constraints arising from explicit capitals or bare sample binders, preserve those constraints through aliases, instantiate them independently, and print multiple constraints. Unresolved decimal variables default to `@ud` for inferred types without gates; defaulting inside gate types and other constraint cases remain incomplete. It does not yet check a module, complete imports, general patterns, general deferred constraints, recursive molds, dependency cycles or most errors with both conflicting excerpts. Definite cast and call mismatches, incompatible branches and overlapping union cases report both sites and excerpts. Concrete branch results can join at an explicitly present parent aura or `@`. Some known tuple and record positions acquire matching faces; other variable-dependent face merges, general branch tag context and ambiguous call-result propagation remain unsupported; function compatibility involving nested `@` and variable-dependent joins remain unsupported except for equal types and the source-bound gate-sample proof below. For a single recursive gate outside a group, the reporting path repeats inference rather than instantiating its generalized interface inside its own body; a group report uses its stored schemes. This adds work, and the current dependency pass can take quadratic time on long forward chains; the milestone's speed target remains unverified. A separate conservative pass reports unions whose cases are provably disjoint or overlapping and leaves other cases unresolved; it does not claim the mold is checked. Unsupported forms are reported as such, and the partial output says the module has not been checked.