Array.leaf_update: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/array.bend as Array
Lines 135-140 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/array.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/array.bend&start_line=135&end_line=140

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend as N
import bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend as SC

def leaf_update(-T: Data, +x: T, +v: T, +j: Nat, +hj: {Nat.is_lt(j, 1n) == True{} : Bool}) -> {Con{v, Nil{}} == SC.update(T, Con{x, Nil{}}, j, v) : List<&2, T>}:
  match j:
    case 0n:
      {==}
    case 1n+q:
      Empty.absurd({Con{v, Nil{}} == Con{x, Nil{}} : List<&2, T>}, N.lt_zero_absurd(q, hj))

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=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/nat.bend&name=lt_zero_absurd
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=update