PROOF.h.at1_put.t: def of bend-kit-collections@0.1.4.1
Import: import bend-kit-collections@0.1.4.1/PROOF.bend as PROOF
Lines 1988-1994 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=1988&end_line=1994

import Base
import bend-mathlib@0.7.4.0/bool.bend as MBool

def h.at1_put.t(q: Nat, b: Bool, t2: Word(q), e: {h.isz(1n+q, WCon{b, t2}) == True{} : Bool})
  -> {h.isz(q, Word.shl.put(q, b, t2)) == True{} : Bool}:
  match b:
    case True{}:
      Empty.absurd({h.isz(q, Word.shl.put(q, True{}, t2)) == True{} : Bool}, MBool.false_ne_true()(e))
    case False{}:
      h.isz_put(q, t2, e)

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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.isz
  https://jend.leeeet.dev/definition.txt?path=bend-kit-collections@0.1.4.1/PROOF.bend&name=h.isz_put
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/bool.bend&name=false_ne_true