PD0035 · conservative definition

SuccessorInverse

The successor residues of i and j multiply to one modulo 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

SuccessorInverse(m,i,j)

Exact expansion

exists dp_u dp_v. (S i) * S j + 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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