Lists.drop_all: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/lists.bend as Lists
Lines 31-35 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/lists.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/blake/blake3/lists.bend&start_line=31&end_line=35

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

def drop_all(-A: Data, +xs: List<&2,A>, +k: Nat, +h: {Nat.is_le(SC.length(A,xs),k) == True{} : Bool}) -> {SC.drop(A,xs,k) == Nil{} : List<&2,A>}:
  match xs k:
    case Nil{} _: {==}
    case Con{+a,+t} 0n: Empty.absurd({SC.drop(A,Con{a,t},0n) == Nil{} : List<&2,A>},L.false_true(h))
    case Con{+a,+t} 1n+j: drop_all(A,t,j,h)

Uses (8):
  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_le
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/logic.bend&name=false_true
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=drop
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/spec/lib/common.bend&name=length