MapBridge.put_go_bridge: law of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend as MapBridge
Lines 190-198 of bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend&start_line=190&end_line=198

import Base

law put_go_bridge:
  for -a: Quant
  for -V: Kind(a)
    for x: V
for +p: Nat
  for lo: Map<a, V>
  for hi: Map<a, V>
  for kb: String & Bool
  {Map.put.go(a, V, MNode{p, lo, hi}, x, kb) == put_bit(a, V, x, p, lo, hi, kb) : Map<a, V>}

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=Map
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Map.put.go
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=String
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend&name=put_bit