List.length_take_le: law of bend-mathlib@0.8.1.0 Import: import bend-mathlib@0.8.1.0/list.bend as List Lines 1257-1263 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=1257&end_line=1263 import Base import bend-mathlib@0.8.1.0/nat.bend as MNat # Taking n elements gives at most n of them. law length_take_le: for -a: Quant for -A: Kind(a) for xs: List for n: Nat MNat.le(List.length(a, A, List.take(a, A, xs, n)), n) Uses (7): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.take https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=le https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=succ_le_succ https://jend.leeeet.dev/definition.txt?path=bend-mathlib@0.8.1.0/nat.bend&name=zero_le