51 lines
1.7 KiB
Text
51 lines
1.7 KiB
Text
import Lean
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open Lean Meta
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def genHCongr (declName : Name) : MetaM Unit := do
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let info ← getConstInfo declName
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let thm ← mkHCongr (mkConst declName <| info.levelParams.map Level.param)
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IO.println (← ppExpr thm.type)
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def genCongr (declName : Name) : MetaM Unit := do
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let info ← getConstInfo declName
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let some thm ← mkCongrSimp? (mkConst declName <| info.levelParams.map Level.param) | return ()
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IO.println (← ppExpr thm.type)
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/--
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info: ∀ (coll coll' : Type u),
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coll = coll' →
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∀ (idx idx' : Type v),
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idx = idx' →
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∀ (elem elem' : Type w),
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elem = elem' →
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∀ (valid : coll → idx → Prop) (valid' : coll' → idx' → Prop),
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valid ≍ valid' →
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∀ (self : GetElem coll idx elem valid) (self' : GetElem coll' idx' elem' valid'),
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self ≍ self' →
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∀ (xs : coll) (xs' : coll'),
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xs ≍ xs' →
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∀ (i : idx) (i' : idx'),
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i ≍ i' → ∀ (h : valid xs i) (h' : valid' xs' i'), h ≍ h' → xs[i] ≍ xs'[i']
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-/
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#guard_msgs in
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#eval genHCongr ``GetElem.getElem
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/--
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info: ∀ {coll : Type u} {idx : Type v} {elem : Type w} {valid : coll → idx → Prop} [self : GetElem coll idx elem valid]
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(xs xs_1 : coll) (e_xs : xs = xs_1) (i i_1 : idx) (e_i : i = i_1) (h : valid xs i), xs[i] = xs_1[i_1]
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-/
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#guard_msgs in
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#eval genCongr ``GetElem.getElem
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def f (x := 0) (_ : x = x := by rfl) := x + 1
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/--
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info: ∀ (x x' : Nat), x = x' → ∀ (x_1 : x = x) (x'_1 : x' = x'), x_1 ≍ x'_1 → f x x_1 ≍ f x' x'_1
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-/
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#guard_msgs in
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#eval genHCongr ``f
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/-- info: ∀ (x x_1 : Nat) (e_x : x = x_1) (x_2 : x = x), f x x_2 = f x_1 ⋯ -/
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#guard_msgs in
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#eval genCongr ``f
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