NatInterval.outside_tail: def of stelliferous@0.0.2.0
Import: import stelliferous@0.0.2.0/proofs/nat_interval.bend as NatInterval
Lines 35-38 of stelliferous@0.0.2.0/proofs/nat_interval.bend: https://jend.leeeet.dev/read.txt?path=stelliferous@0.0.2.0/proofs/nat_interval.bend&start_line=35&end_line=38

import Base
import stelliferous@0.0.2.0/proofs/nat_order.bend as Order
import stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend as Bounds

def outside_tail(+start: Nat,+remaining: Nat,+query: Nat,outside: Outside<start,1n+remaining,query>) -> Outside<1n+start,remaining,query>:
  match outside:
    case Before{bound}: Before{Order.lt_succ(query,start,Bounds.strict_le(query,start,bound))}
    case After{bound}: After{Order.advance_room(start,remaining,query,bound)}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_interval.bend&name=Outside
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_order.bend&name=advance_room
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_order.bend&name=lt_succ
  https://jend.leeeet.dev/definition.txt?path=stelliferous@0.0.2.0/proofs/nat_to_u32_bounds.bend&name=strict_le