This is part 2 of 2 of #4801 (which closes#4654). That PR was split in
two to allow a stage0 update between declaring the `usize` functions and
using them where they are needed.
Add efficient `usize` functions for `Array`, `ByteArray`, `FloatArray`.
This is part 1 of 2 since there is a need to update stage0 between the
two parts. (See discussion below.)
Closes#4654
Now it suggests using `@[ext (iff := false)]` to disable generating the
`ext_iff` lemma.
This PR also adjusts error messages and attribute documentation.
Additionally, to simplify the code now the `x` and `y` arguments can't
come in reverse order (this feature was was added in the refactor
#4543).
Closes#4758
A more restrictive but efficient max sharing primitive.
**Motivation:** Some software verification proofs may contain
significant redundancy that can be eliminated using hash-consing (also
known as `shareCommon`). For example, [theorem
`sha512_block_armv8_test_4_sym`](460fe5d74c/Proofs/SHA512/SHA512Sym.lean (L29))
took a few seconds at [`addPreDefinitions`
](1a12f63f74/src/Lean/Elab/PreDefinition/Main.lean (L155))
and one second at `fixLevelParams` on a MacBook Pro (with M1 Pro). The
proof term initially had over 16 million subterms, but the redundancy
was indirectly and inefficiently eliminated using `Core.transform` at
`addPreDefinitions`. I tried to use `shareCommon` method to fix the
performance issue, but it was too inefficient. This PR introduces a new
`shareCommon'` method that, although less flexible (e.g., it uses only a
local cache and hash-consing table), is much more efficient. The new
procedure minimizes the number of RC operations and optimizes the
caching strategy. It is 20 times faster than the old `shareCommon`
procedure for theorem `sha512_block_armv8_test_4_sym`.
the internal constructions for structural and well-founded recursion
use plenty of `PProd` and `MProd`, and reading these, deeply
nested and in prefix notation, is unnecessarily troublesome.
Therefore this introduces notations
```
a ×ₚ b -- PProd a b
a ×ₘ b -- MProd a b
()ₚ -- PUnit.unit
(x,y,z)ₚ -- PProd.mk x (PProd.mk y z)
(x,y,z)ₘ -- MProd.mk x (MProd.mk y z)
```
(This is the post-stage0-part 2.)
the internal constructions for structural and well-founded recursion
use plenty of `PProd` and `MProd`, and reading these, deeply
nested and in prefix notation, is unnecessarily troublesome.
Therefore this introduces notations
```
a ×ₚ b -- PProd a b
a ×ₘ b -- MProd a b
()ₚ -- PUnit.unit
(x,y,z)ₚ -- PProd.mk x (PProd.mk y z)
(x,y,z)ₘ -- MProd.mk x (MProd.mk y z)
```
(This is part 1, the rest will follow in #4730 after a stage0 update.)
Adds a command and tactic to print the `Array <| DiscrTree.Key` for
equalities helping the user to debug perceived `simp` failures.
---------
Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
Upstreaming of basic material on `List.Pairwise` and `List.Nodup`. More
complete API to follow later, this is just a first approximation of what
leansat will need.
I'll update `list_simp.lean` (simp normal form testing) and add missing
lemmas in follow-up PRs.
This just upstreams the material, and reorders the lemmas to match the
other sections.
This PR refactors the 'ext' attribute and implements the following
features:
- The 'local' and 'scoped' attribute kinds are now usable.
- The attribute realizes the `ext`/`ext_iff` lemmas when they do not
already exist, rather than always generating them. This is useful in
conjunction with `@[local ext]`.
- Adding `@[ext]` to a user ext lemma now realizes an `ext_iff` lemma as
well; formerly this was only for structures. The name of the generated
`ext_iff` theorem for a user `ext` theorem named `A.B.myext` is
`A.B.myext_iff`. If this process leads to an error, the user can write
`@[ext (iff := false)]` to disable this feature.
Breaking changes:
- Now the "x" and "y" term arguments to the realized `ext` and `ext_iff`
lemmas are implicit.
- Now the realized `ext` and `ext_iff` lemmas are protected.
Bootstrapping notes:
- There are a few `ext_iff` lemmas to address after the next stage0
update.
Closes https://github.com/leanprover/lean4/issues/3643
Suggested by Floris [on
Zulip](https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/.22Missing.20Tactics.22.20list/near/446267660).
### Preliminary PRs:
- [x] #4597
- [x] #4599
- [x] #4600
- [x] #4602
- [x] #4603
- [x] #4604
- [x] #4605
- [x] #4607
- [x] #4627
- [x] #4629
### Quick overview over API/naming changes compared to `Lean.HashMap`
and `Batteries.HashMap`:
#### Lean
* `find?` -> `get?`/`getElem?`
* `find!` -> `get!`/`gtetElem!`
* `findD` -> `getD`
* `findEntry?` -> not implemented for now
* `insert'` -> `containsThenInsert` (order reversed in result)
* `insertIfNew` -> `getThenInsertIfNew?` (order reversed in result)
* `numBuckets` -> `Internal.numBuckets`
* `ofListWith` -> not implemented for now
* `Array.groupByKey` -> not implemented for now
* `merge` -> not implemented for now, but you can use `insertMany`
#### Batteries
* `modify` -> not implemented for now
* `mergeWith` -> not implemented for now
* `mergeWithM` -> not implemented for now
Split from #4583
There are two open questions, opinions appreciated:
- Should this material be part of `Init` or `Std`?
- Should the typeclasses be in the `Std` namespace?
Split from #4583
`exists_of_set` appears in Batteries as `exists_of_set'`. The
`exists_of_set` version is unused in batteries and mathlib at least and
I would argue that the primed version (i.e., the one added in this PR)
is always better anyway.
`isEmpty_iff` appears in mathlib as `isEmpty_iff_eq_nil`.
