List.internal_all_cons: def of bend-mathlib@0.8.1.0
Import: import bend-mathlib@0.8.1.0/list.bend as List
Lines 562-564 of bend-mathlib@0.8.1.0/list.bend: https://jend.leeeet.dev/read.txt?path=bend-mathlib@0.8.1.0/list.bend&start_line=562&end_line=564

import Base

# The cons case of all, any, find and contains as lemmas, so a change to their Base definitions stays in one place (PLAN F39).
def internal_all_cons(~a: Quant, ~A: Kind(a), ~f: A -> Bool, h: A, -t: List<a, A>) -> {Bool.and(f(h), List.all(~a, ~A, ~f, t)) == List.all(~a, ~A, ~f, h <> t) : Bool}:
  internal_all_if(f(h), List.all(~a, ~A, ~f, t))

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.all
  https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/list.bend&name=internal_all_if