CF0010 · conservative definition

Digit

A base-p digit d and quotient q satisfy n = p·q+d with the witnessed strict bound d<p.

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

Digit(p, n, q, d)

Exact expansion

(n = p * q + d) /\ exists h. h + S d = p

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

none