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
¬ModEq(p,dp,dn)Only definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
~(exists hgcrt_mod_left_hpl_hsc_secondwave hgcrt_mod_right_hpl_hsc_secondwave. dp + p * hgcrt_mod_left_hpl_hsc_secondwave = dn + p * hgcrt_mod_right_hpl_hsc_secondwave)The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.