PD0034 · conservative definition

ScaledFixedPoint

a is a bounded unit whose square is t 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

ScaledFixedPoint(m,t,a)

Exact expansion

(((~((a) = 0) /\ (exists dp_gap. dp_gap + S (a) = m))) /\ (exists qr_u_defined_scaled_fixed_point qr_v_defined_scaled_fixed_point. (a) * (a) + m * qr_u_defined_scaled_fixed_point = t + m * qr_v_defined_scaled_fixed_point))

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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