This PR adjusts the experimental module system to not export the bodies
of `def`s unless opted out by the new attribute `@[expose]` on the `def`
or on a surrounding `section`.
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Co-authored-by: Markus Himmel <markus@lean-fro.org>
This PR adds `Option.pfilter`, a variant of `Option.filter` and several
lemmas for it and other `Option` functions. These lemmas are split off
from #7400.
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 `++`.
The lemma `exists_const` already handles all real cases of `(∃ _ : α, p)
↔ p` for general types `α`. If there are no `Nonempty` instances and
this lemma cannot apply, it seems unlikely that simp could make more
progress with `(∃ _ : α, p) ↔ Nonempty α ∧ p`.
However, it is still worth simplifying `(∃ _ : p, q)` to `p ∧ q`.
Also adds a `Nonempty (Decidable a)` instance, which is used by Mathlib.
These are used in Mathlib's `congr!` and `convert` tactics, which will
be upstreamed soon.
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Co-authored-by: Kyle Miller <kmill31415@gmail.com>
- Add support for reserved declaration names. We use them for theorems
generated on demand.
- Equation theorems are not private declarations anymore.
- Generate equation theorems on demand when resolving symbols.
- Prevent users from creating declarations using reserved names. Users
can bypass it using meta-programming.
See next test for examples.
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.
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Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
This will collect definitions from Std.Logic
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Co-authored-by: David Thrane Christiansen <david@davidchristiansen.dk>
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>