def un.fin_eq_tail
import bend-osdev-u32@0.1.0.0/PROOF.bend as PROOFimport Base
426def un.fin_eq_tail(c: Cmp, -x: Bool, -y: Bool, e: {Word.cmp.fin(x, y, c) == EQ{} : Cmp}) -> {c == EQ{} : Cmp}:
427 match c:
428 case LT{}:
429 Empty.absurd({LT{} == EQ{} : Cmp}, un.lt_eq(e))
430 case EQ{}:
431 {==}
432 case GT{}:
433 Empty.absurd({GT{} == EQ{} : Cmp}, un.gt_eq(e))