This makes trailing whitespace visible and protectes them against
trimming by the editor, by appending the symbol ⏎ to such a line (and
also to any line that ends with such a symbol, to avoid ambiguities in
the case the message already had that symbol).
(Only the code action output / docstring parsing is affected; the error
message as sent
to the InfoView is unaffected.)
Fixes#3571
Modifies `dsimpLocation'` (which implements `dsimp?`) to take a
`simprocs : SimprocsArray` argument, like `simpLocation` and
`dsimpLocation`. This ensures that the behavior of `dsimp` matches
`dsimp?`.
---
Closes#3653
Enables the combination of `noncomputable unsafe` to be used for
definitions. Outside of pure theory, `noncomputable` is also useful to
prevent Lean from compiling a definition which will be implemented with
external code later. Such definitions may also wish to be marked
`unsafe` if they perform morally impure or memory-unsafe functions.
this makes `termination_by?` even slicker.
The heuristics is agressive in the non-mutual case (will omit `sizeOf`
if the argument is non-dependent and the `WellFoundedRelation` relation
is via `sizeOfWFRel`.
In the mutual case we'd also have to check the arguments, as they line
up in the termination argument, have the same types. I did not bother at
this point; in the mutual case we omit `sizeOf` only if the argument
type is `Nat`.
As a drive-by fix, `termination_by?` now also works on functions that
have only one plausible measure.
This is a temporary workaround for a limitation on Windows shared
libraries. We are getting errors of the form:
```
ld.lld: error: too many exported symbols (got 65572, max 65535)
```
Replaces `@[eliminator]` with two attributes `@[induction_eliminator]`
and `@[cases_eliminator]` for defining custom eliminators for the
`induction` and `cases` tactics, respectively.
Adds `Nat.recAux` and `Nat.casesAuxOn`, which are eliminators that are
defeq to `Nat.rec` and `Nat.casesOn`, but these use `0` and `n + 1`
rather than `Nat.zero` and `Nat.succ n`.
For example, using `induction` to prove that the factorial function is
positive now has the following goal states (thanks also to #3616 for the
goal state after unfolding).
```lean
example : 0 < fact x := by
induction x with
| zero => decide
| succ x ih =>
/-
x : Nat
ih : 0 < fact x
⊢ 0 < fact (x + 1)
-/
unfold fact
/-
...
⊢ 0 < (x + 1) * fact x
-/
simpa using ih
```
Thanks to @adamtopaz for initial work on splitting the `@[eliminator]`
attribute.
Floris van Doorn [reported on
Zulip](https://leanprover.zulipchat.com/#narrow/stream/270676-lean4/topic/have.20tactic.20error.20recovery/near/425283053)
that it is confusing that the `have : T := e` tactic completely fails if
the body `e` is not of type `T`. This is in contrast to `have : T := by
exact e`, which does not completely fail when `e` is not of type `T`.
This ends up being caused by `elabTermEnsuringType` throwing an error
when it fails to insert a coercion. Now, it detects this case, and it
checks the `errToSorry` flag to decide whether to throw the error or to
log the error and insert a `sorry`.
This is justified by `elabTermEnsuringType` being a frontend to
`elabTerm`, which inserts `sorry` on error.
An alternative would be to make `ensureType` respect `errToSorry`, but
there exists code that expects being able to catch when `ensureType`
fails. Making such code manipulate `errToSorry` seems error prone, and
this function is not a main entry point to the term elaborator, unlike
`elabTermEnsuringType`.
Remark: this commit removes the `jason1.lean` test. Motivation: It
breaks all the time due to changes we make, and it is not clear anymore
what it is testing.
---------
Co-authored-by: Joachim Breitner <mail@joachim-breitner.de>
This migrates lemmas about Nat `compare`, `min`, `max`, `dvd`, `gcd`,
`lcm` and `div`/`mod` from Std to Lean itself.
Std still has some additional recursors, `CoPrime` and a few additional
definitions that might merit further discussion prior to upstreaming.
If the `LEAN_GITHASH` environment variable is set, Lake will now use it
instead of the detected Lean's githash when computing traces for builds
and the elaborated Lake configuration. This override allows one to
replace the Lean version used by a library
(e.g., Mathlib) without completely rebuilding it, which is useful for
testing custom builds of Lean.
The `delabConstWithSignature` delaborator is responsible for pretty
printing constants with a declaration-like signature, with binders, a
colon, and a type. This is used by the `#check` command when it is given
just an identifier.
It used to accumulate binders from pi types indiscriminately, but this
led to unfriendly behavior. For example, `#check String.append` would
give
```
String.append (a✝ : String) (a✝¹ : String) : String
```
with inaccessible names. These appear because `String.append` is defined
using patterns, so it never names these parameters.
Now the delaborator stops accumulating binders once it reaches an
inaccessible name, and for example `#check String.append` now gives
```
String.append : String → String → String
```
We do not synthesize names for the sake of enabling binder syntax
because the binder names are part of the API of a function — one can use
`(arg := ...)` syntax to pass arguments by name. The delaborator also
now stops accumulating binders once it reaches a parameter with a name
already seen before — we then rely on the main delaborator to provide
that parameter with a fresh name when pretty printing the pi type.
As a special case, instance parameters with inaccessible names are
included as binders, pretty printing like `[LT α]`, rather than
relegating them (and all the remaining parameters) to after the colon.
It would be more accurate to pretty print this as `[inst✝ : LT α]`, but
we make the simplifying assumption that such instance parameters are
generally used via typeclass inference. Likely `inst✝` would not
directly appear in pretty printer output, and even if it appears in a
hover, users can likely figure out what is going on. (We may consider
making such `inst✝` variables pretty print as `‹LT α›` or
`infer_instance` in the future, to make this more consistent.)
Something we note here is that we do not do anything to make sure
parameters that can be used as named arguments actually appear named
after the colon (nor do we assure that the names are the correct names).
For example, one sees `foo : String → String → String` rather than `foo
: String → (baz : String) → String`. We can investigate this later if it
is wanted.
We also give `delabConstWithSignature` a `universes` flag to enable
turning off pretty printing universe levels parameters.
Closes#2846
this makes the ugly `fst`/`snd` variable names in the functional
induction principles go away.
Ironically I thought in order to fix these name, I should touch the
mutual/n-ary argument packing code used for well-founded recursion, and
embarked on a big refactor/rewrite of that code, only to find that at
least this particular instance of the issue was somewhere else. Hence
breaking this into its own PR; the refactoring will follow (and will
also improve some other variable names.)
closes#3022
With this commit, given the declaration
```
def foo : Nat → Nat
| 0 => 2
| n + 1 => foo n
```
when we unfold `foo (n+1)`, we now obtain `foo n` instead of `foo
(Nat.add n 0)`.
This fixes an issue discovered in Mathlib with the meta cache being
poisoned by using a name generator. It is difficult to reproduce due to
the name collisions being rare, but here is a minimal module with
definitions that result in an error:
```lean
prelude
universe u
inductive Unit2 : Type where
| unit : Unit2
inductive Eq2 {α : Sort u} : α → α → Prop where
| refl (a : α) : Eq2 a a
structure Subtype2 {α : Sort u} (p : α → Prop) where
val : α
def End (α) := α → α
theorem end_app_eq (α : Type u) (f : End α) (a : α) : Eq2 (f a) (f a) := Eq2.refl _
theorem Set.coe_eq_subtype {α : Type u} (s : α → Prop) : Eq2 (Subtype2 s) (Subtype2 s) := Eq2.refl _
def succAboveCases {_ : Unit2} {α : Unit2 → Sort u} (i : Unit2) (v : α i) : α i := v
theorem succAbove_cases_eq_insertNth : Eq2 @succAboveCases.{u + 1} @succAboveCases.{u + 1} := Eq2.refl _
```
Removing any of thee last 5 definitions avoids the error. Testing
against Mathlib shows this PR fixes the issue.
This bug is the real cause of leanprover/vscode-lean4#392.
At the end of a tactic state, the client calls
`getInteractiveDiagnostics` with a range `[last line of proof, last line
of proof + 1)`. The `fullRange` span of the `unresolved goals` error
however is something like `[(first line of proof, start character),
(last line of proof, nonzero end character)).
Since it operates on line numbers, `getInteractiveDiagnostics` would
then check whether `[last line of proof, last line of proof + 1)` and
`[first line of proof, last line of proof)` intersect, which is false
because of the excluded upper bound on the latter interval, despite the
fact that the end character in the last line may be nonzero.
This fix adjusts the intersection logic to use `[first line of proof,
last line of proof]` if the end character is nonzero.
Closesleanprover/vscode-lean4#392.
This PR enables import auto-completion to complete partial words in
imports.
Other inconsistencies that I've found in import completion already seem
to be fixed by #3014. Since it will be merged soon, there is no need to
invest time to fix these issues on master.
This adds the concept of **functional induction** to lean.
Derived from the definition of a (possibly mutually) recursive function,
a **functional
induction principle** is tailored to proofs about that function. For
example from:
```
def ackermann : Nat → Nat → Nat
| 0, m => m + 1
| n+1, 0 => ackermann n 1
| n+1, m+1 => ackermann n (ackermann (n + 1) m)
derive_functional_induction ackermann
```
we get
```
ackermann.induct (motive : Nat → Nat → Prop) (case1 : ∀ (m : Nat), motive 0 m)
(case2 : ∀ (n : Nat), motive n 1 → motive (Nat.succ n) 0)
(case3 : ∀ (n m : Nat), motive (n + 1) m → motive n (ackermann (n + 1) m) → motive (Nat.succ n) (Nat.succ m))
(x x : Nat) : motive x x
```
At the moment, the user has to ask for the functional induction
principle explicitly using
```
derive_functional_induction ackermann
```
The module docstring of `Lean/Meta/Tactic/FunInd.lean` contains more
details on the
design and implementation of this command.
More convenience around this (e.g. a `functional induction` tactic) will
follow eventually.
This PR includes a bunch of `PSum`/`PSigma` related functions in the
`Lean.Tactic.FunInd`
namespace. I plan to move these to `PackArgs`/`PackMutual` afterwards,
and do some cleaning
up as I do that.
---------
Co-authored-by: David Thrane Christiansen <david@davidchristiansen.dk>
Co-authored-by: Leonardo de Moura <leomoura@amazon.com>
This adds a number of lemmas for simplification of `Bool` and `Prop`
terms. It pulls lemmas from Mathlib and adds additional lemmas where
confluence or consistency suggested they are needed.
It has been tested against Mathlib using some automated test
infrastructure.
That testing module is not yet included in this PR, but will be included
as part of this.
Note. There are currently some comments saying the origin of the simp
rule. These will be removed prior to merging, but are added to clarify
where the rule came from during review.
---------
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
