PD0032 · conservative definition

BoundedNonzeroInverse

a has a nonzero inverse strictly below m.

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

BoundedNonzeroInverse(m,a)

Exact expansion

exists dp_inverse. (~(dp_inverse = 0) /\ ((exists dp_bound. dp_bound + S dp_inverse = m) /\ (exists dp_u dp_v. (a) * (dp_inverse) + m * dp_u = 1 + m * dp_v)))

This node is notation, not a theorem, axiom, predicate constant, or kernel rule. The elaboration layer must expand it before proof checking.

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