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.
Definition in prerequisite notation
NaturalAbsDifference(a · t + b · rn,b · rp,E)Only definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
(((a) * (t) + (b) * (rn)) = ((b) * (rp)) + (E)) \/ (((b) * (rp)) = ((a) * (t) + (b) * (rn)) + (E))The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.
Direct definition dependencies
Definitions depending on this notation
none
Checked theorems using this definition
BA0011 · cf_approximation_subtract_previous_absolute_errorBA0023 · cf_approximation_subtractive_error_lower_boundBA0024 · cf_approximation_unimodular_best_approximationBA0025 · cf_approximation_alternating_identity_best_approximationBA0026 · cf_approximation_derived_invariant_best_signedBA0027 · cf_approximation_natural_error_as_signed