law take_replicate_sym

bend-mathlib@0.8.1.0 · list.bend:2647

import Base

2647# Taking m from n copies of x gives min(m, n) copies of x, reversed to rewrite toward the simple side.
2648law take_replicate_sym:
2649  for -A: Data
2650  for n: Nat
2651  for m: Nat
2652  for -x: A
2653  {List.replicate(A, Nat.min(m, n), x) == List.take(&2, A, List.replicate(A, n, x), m) : List<&2, A>}