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lean4-htt/tests/lean/815b.lean.expected.out
Leonardo de Moura 10a56bf4a1 fix: fixes #1571 
The previous implementation was using the following heuristic
```lean
      -- heuristic: use non-dependent arrows only if possible for whole group to avoid
      -- noisy mix like `(α : Type) → Type → (γ : Type) → ...`.
      let dependent := curNames.any fun n => hasIdent n.getId stxBody
```
The result produced by this heuristic was **not** producing an
accidental name capture, but I agree
it was confusing to have `∀ (a : True), ∃ a, a = a : Prop` instead of
`True → ∃ a, a = a : Prop` since there is no dependency.
AFAICT, all examples affected by this commit have a better output now.

cc @digma0 @kha
2022-09-15 11:16:16 -07:00

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815b.lean:1:4-1:13: warning: declaration uses 'sorry'
815b.lean:6:9-6:17: warning: declaration uses 'sorry'
815b.lean:7:9-7:14: warning: declaration uses 'sorry'
815b.lean:8:9-8:13: warning: declaration uses 'sorry'
815b.lean:9:9-9:13: warning: declaration uses 'sorry'
815b.lean:10:9-10:13: warning: declaration uses 'sorry'
815b.lean:11:9-11:13: warning: declaration uses 'sorry'
[Meta.synthInstance] ✅ IsSmooth fun g a => f (g a) d
[Meta.synthInstance] new goal IsSmooth fun g a => f (g a) d
[Meta.synthInstance.instances] #[@identity, @const, @parm, @comp, @diag, @swap, inst✝]
[Meta.synthInstance] ❌ apply inst✝ to IsSmooth fun g a => f (g a) d
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g a => f (g a) d ≟ IsSmooth f
[Meta.synthInstance] ✅ apply @swap to IsSmooth fun g a => f (g a) d
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g a => f (g a) d ≟ IsSmooth fun b a => f (b a) d
[Meta.synthInstance] new goal ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.instances] #[@identity, @const, @parm, @comp, @diag, inst✝]
[Meta.synthInstance] ❌ apply inst✝ to ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a) d ≟ IsSmooth f
[Meta.synthInstance] ✅ apply @diag to ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => f (g a) d ≟ IsSmooth fun a_1 => f (a_1 a) d
[Meta.synthInstance.unusedArgs] α → IsSmooth f
has unused arguments, reduced type
IsSmooth f
Transformer
fun redf a => redf
[Meta.synthInstance] new goal IsSmooth f
[Meta.synthInstance.instances] #[inst✝]
[Meta.synthInstance] ✅ apply inst✝ to IsSmooth f
[Meta.synthInstance.tryResolve] ✅ IsSmooth f ≟ IsSmooth f
[Meta.synthInstance.resume] propagating IsSmooth f to subgoal IsSmooth f of ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.resume] size: 1
[Meta.synthInstance.unusedArgs] α → IsSmooth f
has unused arguments, reduced type
IsSmooth f
Transformer
fun redf a => redf
[Meta.synthInstance.resume] propagating α →
IsSmooth f to subgoal α → IsSmooth f of ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.resume] size: 2
[Meta.synthInstance.unusedArgs] α → ∀ (b : β), IsSmooth (f b)
has unused arguments, reduced type
∀ (b : β), IsSmooth (f b)
Transformer
fun redf a b => redf b
[Meta.synthInstance] new goal ∀ (b : β), IsSmooth (f b)
[Meta.synthInstance.instances] #[inst✝]
[Meta.synthInstance] ❌ apply inst✝ to ∀ (b : β), IsSmooth (f b)
[Meta.synthInstance.tryResolve] ❌ IsSmooth (f b) ≟ IsSmooth f
[Meta.synthInstance] ❌ apply @comp to ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a) d ≟ IsSmooth fun a_1 => ?m a (?m a a_1)
[Meta.synthInstance] ✅ apply @parm to ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => f (g a) d ≟ IsSmooth fun a_1 => f (a_1 a) d
[Meta.synthInstance] new goal ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.instances] #[@identity, @const, @parm, @comp, @diag, @swap, inst✝]
[Meta.synthInstance] ❌ apply inst✝ to ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a) ≟ IsSmooth f
[Meta.synthInstance] ✅ apply @swap to ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => f (g a) ≟ IsSmooth fun b a_1 => f (b a) a_1
[Meta.synthInstance] new goal ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.instances] #[@identity, @const, @parm, @comp, @diag, inst✝]
[Meta.synthInstance] ❌ apply inst✝ to ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a✝) a ≟ IsSmooth f
[Meta.synthInstance] ✅ apply @diag to ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => f (g a✝) a ≟ IsSmooth fun a_1 => f (a_1 a✝) a
[Meta.synthInstance.unusedArgs] α → δ → IsSmooth f
has unused arguments, reduced type
IsSmooth f
Transformer
fun redf a a => redf
[Meta.synthInstance.resume] propagating α →
δ → IsSmooth f to subgoal α → δ → IsSmooth f of ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.resume] size: 1
[Meta.synthInstance.unusedArgs] α → δ → ∀ (b : β), IsSmooth (f b)
has unused arguments, reduced type
∀ (b : β), IsSmooth (f b)
Transformer
fun redf a a b => redf b
[Meta.synthInstance] ❌ apply @comp to ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a✝) a ≟ IsSmooth fun a_1 => ?m a✝ a (?m a✝ a a_1)
[Meta.synthInstance] ✅ apply @parm to ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => f (g a✝) a ≟ IsSmooth fun a_1 => f (a_1 a✝) a
[Meta.synthInstance.unusedArgs] ∀ (a : α), δ → IsSmooth fun g => f (g a)
has unused arguments, reduced type
∀ (a : α), IsSmooth fun g => f (g a)
Transformer
fun redf a a_1 => redf a
[Meta.synthInstance] ❌ apply @const to ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a✝) a ≟ IsSmooth fun a_1 => ?m a✝ a
[Meta.synthInstance] ❌ apply @identity to ∀ (a : α) (a_1 : δ), IsSmooth fun g => f (g a) a_1
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => f (g a✝) a ≟ IsSmooth fun a => a
[Meta.synthInstance] ❌ apply @diag to ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g =>
f (g a) ≟ IsSmooth fun a_1 => ?m a (?m a a_1) (?m a a_1)
[Meta.synthInstance] ✅ apply @comp to ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => f (g a) ≟ IsSmooth fun a_1 => f (a_1 a)
[Meta.synthInstance.unusedArgs] α → IsSmooth f
has unused arguments, reduced type
IsSmooth f
Transformer
fun redf a => redf
[Meta.synthInstance.resume] propagating α →
IsSmooth f to subgoal α → IsSmooth f of ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.resume] size: 1
[Meta.synthInstance] new goal ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.instances] #[@identity, @const, @parm, @comp, @diag, inst✝]
[Meta.synthInstance] ❌ apply inst✝ to ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g a ≟ IsSmooth f
[Meta.synthInstance] ❌ apply @diag to ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g =>
g a ≟ IsSmooth fun a_1 => ?m a (?m a a_1) (?m a a_1)
[Meta.synthInstance] ❌ apply @comp to ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g a ≟ IsSmooth fun a_1 => ?m a (?m a a_1)
[Meta.synthInstance] ✅ apply @parm to ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => g a ≟ IsSmooth fun a_1 => a_1 a
[Meta.synthInstance.unusedArgs] α → IsSmooth fun g => g
has unused arguments, reduced type
IsSmooth fun g => g
Transformer
fun redf a => redf
[Meta.synthInstance] new goal IsSmooth fun g => g
[Meta.synthInstance.instances] #[@identity, @const, @parm, @comp, @diag, @swap, inst✝]
[Meta.synthInstance] ❌ apply inst✝ to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g ≟ IsSmooth f
[Meta.synthInstance] ✅ apply @swap to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => g ≟ IsSmooth fun b a => b a
[Meta.synthInstance] ❌ apply @diag to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g ≟ IsSmooth fun a => ?m (?m a) (?m a)
[Meta.synthInstance] ❌ apply @comp to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g ≟ IsSmooth fun a => ?m (?m a)
[Meta.synthInstance] ❌ apply @parm to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g ≟ IsSmooth fun a => ?m a ?m
[Meta.synthInstance] ❌ apply @const to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ❌ IsSmooth fun g => g ≟ IsSmooth fun a => ?m
[Meta.synthInstance] ✅ apply @identity to IsSmooth fun g => g
[Meta.synthInstance.tryResolve] ✅ IsSmooth fun g => g ≟ IsSmooth fun a => a
[Meta.synthInstance.resume] propagating IsSmooth fun a =>
a to subgoal IsSmooth fun g => g of ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.resume] size: 1
[Meta.synthInstance.unusedArgs] α → IsSmooth fun g => g
has unused arguments, reduced type
IsSmooth fun g => g
Transformer
fun redf a => redf
[Meta.synthInstance.resume] propagating α →
IsSmooth fun a => a to subgoal α → IsSmooth fun g => g of ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.resume] size: 2
[Meta.synthInstance.resume] propagating ∀ (a : α),
IsSmooth fun a_1 => a_1 a to subgoal ∀ (a : α), IsSmooth fun g => g a of IsSmooth fun g => g
[Meta.synthInstance.resume] size: 3
[Meta.synthInstance.resume] propagating IsSmooth fun b a =>
b a to subgoal IsSmooth fun g => g of ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.resume] size: 4
[Meta.synthInstance.unusedArgs] α → IsSmooth fun g => g
has unused arguments, reduced type
IsSmooth fun g => g
Transformer
fun redf a => redf
[Meta.synthInstance.resume] propagating α →
IsSmooth fun b a => b a to subgoal α → IsSmooth fun g => g of ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.resume] size: 8
[Meta.synthInstance.resume] propagating α →
IsSmooth fun a => a to subgoal α → IsSmooth fun g => g of ∀ (a : α), IsSmooth fun g => g a
[Meta.synthInstance.resume] size: 5
[Meta.synthInstance.resume] propagating ∀ (a : α),
IsSmooth fun a_1 => a_1 a to subgoal ∀ (a : α), IsSmooth fun g => g a of ∀ (a : α), IsSmooth fun g => f (g a)
[Meta.synthInstance.resume] size: 4
[Meta.synthInstance.resume] propagating ∀ (a : α),
IsSmooth fun a_1 =>
f (a_1 a) to subgoal ∀ (a : α), IsSmooth fun g => f (g a) of ∀ (a : α), IsSmooth fun g => f (g a) d
[Meta.synthInstance.resume] size: 5
[Meta.synthInstance.resume] propagating ∀ (a : α),
IsSmooth fun a_1 =>
f (a_1 a) d to subgoal ∀ (a : α), IsSmooth fun g => f (g a) d of IsSmooth fun g a => f (g a) d
[Meta.synthInstance.resume] size: 6
[Meta.synthInstance] result swap fun a g => f (g a) d
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