feat: add [grind ←=] attribute
#6702
Merged
Conversation
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This PR adds support for equality backward reasoning to `grind`.
We can illustrate the new feature with the following example. Suppose we have a theorem:
```lean
theorem inv_eq {a b : α} (w : a * b = 1) : inv a = b
```
and we want to instantiate the theorem whenever we are tying to prove
`inv t = s` for some terms `t` and `s`
The attribute `[grind ←]` is not applicable in this case because, by default,
`=` is not eligible for E-matching. The new attribute `[grind ←=]` instructs
`grind` to use the equality and consider disequalities in the `grind`
proof state as candidates for E-matching.
leodemoura
added
the
changelog-language
github-actions
bot
added
the
toolchain-available
|
Mathlib CI status (docs):
|
luisacicolini
pushed a commit
to opencompl/lean4
that referenced
this pull request
Jan 21, 2025
This PR adds support for equality backward reasoning to `grind`. We can
illustrate the new feature with the following example. Suppose we have a
theorem:
```lean
theorem inv_eq {a b : α} (w : a * b = 1) : inv a = b
```
and we want to instantiate the theorem whenever we are tying to prove
`inv t = s` for some terms `t` and `s`
The attribute `[grind ←]` is not applicable in this case because, by
default, `=` is not eligible for E-matching. The new attribute `[grind
←=]` instructs `grind` to use the equality and consider disequalities in
the `grind` proof state as candidates for E-matching.
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
Add this suggestion to a batch that can be applied as a single commit.
This suggestion is invalid because no changes were made to the code.
Suggestions cannot be applied while the pull request is closed.
Suggestions cannot be applied while viewing a subset of changes.
Only one suggestion per line can be applied in a batch.
Add this suggestion to a batch that can be applied as a single commit.
Applying suggestions on deleted lines is not supported.
You must change the existing code in this line in order to create a valid suggestion.
Outdated suggestions cannot be applied.
This suggestion has been applied or marked resolved.
Suggestions cannot be applied from pending reviews.
Suggestions cannot be applied on multi-line comments.
Suggestions cannot be applied while the pull request is queued to merge.
Suggestion cannot be applied right now. Please check back later.
This PR adds support for equality backward reasoning to
grind. We can illustrate the new feature with the following example. Suppose we have a theorem:and we want to instantiate the theorem whenever we are tying to prove
inv t = sfor some termstandsThe attribute
[grind ←]is not applicable in this case because, by default,=is not eligible for E-matching. The new attribute[grind ←=]instructsgrindto use the equality and consider disequalities in thegrindproof state as candidates for E-matching.