PD0001 · conservative definition

Le

Witness-defined non-strict order on natural numbers.

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

Le(a, b)

Exact expansion

exists h. h + a = b

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

none

Used by conservative definitions

All transitive conservative prerequisites

none

Used by theorem statements or local proof propositions

Grand-campaign planning vocabulary

Locate Le in the global campaign vocabulary →

Reviewed Le corresponds to blueprint Le with checked argument positions [0, 1].

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.