lean4-htt/tests/lean/run/conv_arg.lean
Joachim Breitner 0e49576fe4
feat: guard_msgs to treat trace messages separate (#8267)
This PR makes `#guard_msgs` to treat `trace` messages separate from
`info`, `warning` and `error`. It also introduce the ability to say
`#guard_msgs (pass info`, like `(drop info)` so far, and also adds
`(check info)` as the explicit form of `(info)`, for completeness.

Fixes #8266
2025-05-09 05:44:34 +00:00

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/-!
# Tests for `conv` mode `arg` tactic
-/
/-!
Basic `arg` usage
-/
example (a b : Nat) (h : b = a) : a + b = a + a := by
conv =>
enter [1, 2]
rw [h]
example (a b : Nat) (h : b = a) : a + b = a + a := by
conv =>
enter [-2, -1]
rw [h]
-- Implications
example (p₁ p₂ q : Prop) (h : p₁ ↔ p₂) : (p₁ → q) ↔ (p₂ → q) := by
conv => enter [1, 1]
conv =>
enter [1, 1]
rw [h]
example (p q₁ q₂ : Prop) (h : q₁ ↔ q₂) : (p → q₁) ↔ (p → q₂) := by
conv => enter [1, 2]
conv =>
enter [1, 2]
rw [h]
-- Dependent implications
/--
trace: i✝ : Nat
| i✝ < 10
---
trace: a✝¹ : Nat
a✝ : a✝¹ < 10
| ↑⟨a✝¹, ⋯⟩ = a✝¹
-/
#guard_msgs in
example : ∀ (i : Nat) (h : i < 10), (⟨i, h⟩ : Fin 10).val = i := by
conv =>
enter [2,1]
trace_state
conv =>
enter [2,2]
trace_state
simp
simp
/-!
Explicit mode
-/
example (f : {_ : Nat} → Nat → Nat) (h : n = n') : @f n m = @f n' m := by
conv =>
enter [1, @1]
rw [h]
example (f : {_ : Nat} → Nat → Nat) (h : m = m') : @f n m = @f n m' := by
conv =>
enter [1, @2]
rw [h]
/-!
Out of bounds errors.
-/
/--
error: invalid 'arg' tactic, application has 1 explicit argument(s) but the index is out of bounds
-/
#guard_msgs in
example (f : {_ : Nat} → Nat → Nat) (h : m = m') : @f n m = @f n m' := by
conv =>
enter [1, 6]
/-- error: invalid 'arg' tactic, application has 2 argument(s) but the index is out of bounds -/
#guard_msgs in
example (f : {_ : Nat} → Nat → Nat) (h : m = m') : @f n m = @f n m' := by
conv =>
enter [1, @6]
/-!
Issue https://github.com/leanprover/lean4/issues/5871
The `arg` tactic was `congr` theorems, which was too restrictive.
-/
class DFunLike (F : Sort _) (α : outParam (Sort _)) (β : outParam <| α → Sort _) where
/-- The coercion from `F` to a function. -/
coe : F → ∀ a : α, β a
structure MyFun (α β : Type) where
toFun : α → β
instance : DFunLike (MyFun α β) α (fun _ => β) where
coe f := f.toFun
example (a b : Nat) (h : a = b) (f : MyFun Nat Int) : DFunLike.coe f a = DFunLike.coe f b := by
conv =>
enter [1, 2] -- the `arg 2` used to fail
rw [h]