PROOF.h.at1_put: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1996-2008 of bend-kit-collections@0.1.4.1/PROOF.bend: https://jend.leeeet.dev/read.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&start_line=1996&end_line=2008

import Base

def h.at1_put(p: Nat, t: Word(p), c: Bool, e: {h.at1(1n+p, WCon{c, t}) == True{} : Bool})
  -> {h.at1(p, Word.shl.put(p, c, t)) == True{} : Bool}:
  match p:
    case 0n:
      {==}
    case 1n+q:
      match t:
        case WCon{b, t2}:
          match c:
            case True{}:
              h.at1_put.t(q, b, t2, e)
            case False{}:
              h.at1_put(q, t2, b, e)

Uses (7):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.Con
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Word.shl.put
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.at1
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.at1_put.t