ND0046

MatrixSkipIndex(i,r,s)

The unique order-preserving source coordinate that skips one genuinely deleted matrix row or column.

Conservative notation; not a theorem, primitive, or axiom.

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.

Hygienic expanded first-order definition

(((exists ff_gap_mdm_lt_research_before. ff_gap_mdm_lt_research_before + S (i) = (r)) /\ s = i) \/ ((exists ff_gap_mdm_le_research_after. ff_gap_mdm_le_research_after + (r) = (i)) /\ s = S i))

The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.

Direct definition dependencies

Lt(a,b)Le(a,b)

Definitions depending on this notation

MatrixMinorCell(b,c,w,r,d,i,j,z)

Checked theorems using this definition

MN0001 · matrix_skip_index_existsMN0002 · matrix_skip_index_functionalMN0003 · matrix_skip_index_avoids_removedMN0004 · matrix_skip_index_bounded

Separate complete second-wave branches: Full T13 proof · Alpha v27.