PD0027 · conservative definition

ContainsPrefix

x occurs in the decoded prefix below l.

Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved. Exact original first-admission records.

Readable signature

ContainsPrefix(b, c, l, x)

Exact expansion

exists fp_i_defined_contains_prefix. ((exists fp_gap_defined_contains_prefix_index. fp_gap_defined_contains_prefix_index + S fp_i_defined_contains_prefix = l) /\ (((exists ff_h_defined_contains_prefix_entry. ff_h_defined_contains_prefix_entry + S (x) = S ((S (fp_i_defined_contains_prefix)) * c)) /\ exists ff_q_defined_contains_prefix_entry. b = ff_q_defined_contains_prefix_entry * S ((S (fp_i_defined_contains_prefix)) * c) + (x))))

This node is conservative notation, not a theorem, axiom, predicate constant, or kernel rule. Its expansion remains in the unchanged first-order language.

Definition neighborhood

Depends on conservative definitions

Used by conservative definitions

none

All transitive conservative prerequisites

Used by theorem statements or local proof propositions

Grand-campaign planning vocabulary

Locate ContainsPrefix in the global campaign vocabulary →

Reviewed ContainsPrefix corresponds to blueprint ContainsPrefix with checked argument positions [0, 1, 2, 3].

The global atlas describes planning vocabulary and does not itself certify a definition or theorem. The reviewed expansion and conservative dependency DAG on this page are the actual family-local reading definitions.