Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
This PR adds a feature to `structure`/`class` where binders without
types on a field definition are interpreted as overriding the type's
parameters binder kinds in that field's projection function. The rules
are (1) only a prefix of the binders are interpreted this way, (2)
multi-identifier binders are allowed but they must all be for
parameters, (3) only parameters that appear in the declaration itself
(not from `variables`) can be overridden and (4) the updates will be
applied after parameter binder kind inference is done. Binder updates
are not allowed in default value redefinitions. Example application: In
the following, `(R p)` causes the `R` and `p` parameters to be explicit,
where normally they would be implicit.
```
class CharP (R : Type u) [AddMonoidWithOne R] (p : Nat) : Prop where
cast_eq_zero_iff (R p) : ∀ x : Nat, (x : R) = 0 ↔ p ∣ x
#guard_msgs in #check CharP.cast_eq_zero_iff
/-
info: CharP.cast_eq_zero_iff.{u} (R : Type u) {inst✝ : AddMonoidWithOne R} (p : Nat) [self : CharP R p] (x : Nat) :
↑x = 0 ↔ p ∣ x
-/
```
The rationale for (3) is that there are cases where a module starts with
a large `variables` list and a field only incidentally uses the binder.
Without the restriction, the field ends up depending on that variable,
counterintuitively causing it to be introduced as an additional
parameter for the type. Instead, there is an explicit error. The easy
fix is to add `: _`, which is the bare minimum to make the binder have a
type.
We should consider warning when binders shadow parameters.
Closes #3574
[Zulip
discussion](https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/RFC.3A.20adjust.20argument.20explicitness.20on.20typeclass.20projections/near/508584627)
Mathlib fixes:
https://github.com/leanprover-community/mathlib4/pull/23469
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