MapBridge.ins_splice_bridge: law of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend as MapBridge
Lines 294-305 of bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend&start_line=294&end_line=305

import Base

law ins_splice_bridge:
  for -a: Quant
  for -V: Kind(a)
  for +q: Nat
  for lo: Map<a, V>
  for hi: Map<a, V>
  for x: V
  for +p: Nat
  for key: String
  for kb: String & Bool
  for hk: {routed_key(kb) == key : String}
  {Map.ins.go(a, V, MNode{q, lo, hi}, x, p, kb, False{}) == Map.ins.splice(a, V, p, key, x, MNode{q, lo, hi}) : Map<a, V>}

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Map
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Map.ins.go
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Map.ins.splice
  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-math@1.0.0.0/proofs/lib/lemmas/proofs/map_bridge.bend&name=routed_key