Commit 2023-06-28 00:29 d8b62864
View on Github →feat(Data.Set.Basic/Data.Finset.Basic): rename insert_subset (#5450)
Currently, (for both Set
and Finset
) insert_subset
is an iff
lemma stating that insert a s ⊆ t
if and only if a ∈ t
and s ⊆ t
. For both types, this PR renames this lemma to insert_subset_iff
, and adds an insert_subset
lemma that gives the implication just in the reverse direction : namely theorem insert_subset (ha : a ∈ t) (hs : s ⊆ t) : insert a s ⊆ t
.
This both aligns the naming with union_subset
and union_subset_iff
, and removes the need for the awkward insert_subset.mpr ⟨_,_⟩
idiom. It touches a lot of files (too many to list), but in a trivial way.