Commit graph

7 commits

Author SHA1 Message Date
Kim Morrison
b4ff5455ba
feat: lemmas about lexicographic order on Array and Vector (#6399)
This PR adds basic lemmas about lexicographic order on Array and Vector,
achieving parity with List.

Many lemmas are still missing for all three, particularly about how
order interacts with `++`.
2024-12-19 10:36:50 +00:00
Kim Morrison
6893913683
feat: replace List.lt with List.Lex (#6379)
This PR replaces `List.lt` with `List.Lex`, from Mathlib, and adds the
new `Bool` valued lexicographic comparatory function `List.lex`. This
subtly changes the definition of `<` on Lists in some situations.

`List.lt` was a weaker relation: in particular if `l₁ < l₂`, then
`a :: l₁ < b :: l₂` may hold according to `List.lt` even if `a` and `b`
are merely incomparable
(either neither `a < b` nor `b < a`), whereas according to `List.Lex`
this would require `a = b`.

When `<` is total, in the sense that `¬ · < ·` is antisymmetric, then
the two relations coincide.

Mathlib was already overriding the order instances for `List α`,
so this change should not be noticed by anyone already using Mathlib.

We simultaneously add the boolean valued `List.lex` function,
parameterised by a `BEq` typeclass
and an arbitrary `lt` function. This will support the flexibility
previously provided for `List.lt`,
via a `==` function which is weaker than strict equality.
2024-12-15 08:22:39 +00:00
Kim Morrison
bac34c7767
feat: theorems about == on Vector (#6376)
This PR adds theorems about `==` on `Vector`, reproducing those already
on `List` and `Array`.
2024-12-13 02:07:12 +00:00
Kim Morrison
db354d2cde
chore: run Batteries linter on Lean (#6364)
This PR makes fixes suggested by the Batteries environment linters,
particularly `simpNF`, and `unusedHavesSuffices`.
2024-12-13 01:28:53 +00:00
Kim Morrison
c83ce020bf
feat: alignment of Array.set lemmas with List lemmas (#6365)
This PR expands the `Array.set` and `Array.setIfInBounds` lemmas to
match existing lemmas for `List.set`.
2024-12-11 01:45:06 +00:00
Kim Morrison
c7b8c5c6a6
chore: alignment of Array and List lemmas (#6342)
Further alignment of `Array` and `List` lemmas. Moved lemmas about
`List.toArray` to a separate file, and aligned lemmas about membership.
2024-12-09 11:30:45 +00:00
Henrik Böving
53c5470200
perf: remove List.redLength (#5605) 2024-10-03 14:57:33 +00:00