09a5b34931
This PR adjusts the experimental module system to make `private` the default visibility modifier in `module`s, introducing `public` as a new modifier instead. `public section` can be used to revert the default for an entire section, though this is more intended to ease gradual adoption of the new semantics such as in `Init` (and soon `Std`) where they should be replaced by a future decl-by-decl re-review of visibilities.
123 lines
2.7 KiB
Text
123 lines
2.7 KiB
Text
module
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prelude
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public import Module.Basic
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/-! Definitions should be exported without their bodies by default -/
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/--
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info: def f : Nat :=
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<not imported>
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-/
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#guard_msgs in
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#print f
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/-! Theorems should be exported without their bodies -/
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/--
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info: theorem t : f = 1 :=
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<not imported>
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-/
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#guard_msgs in
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#print t
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/--
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info: theorem trfl : f = 1 :=
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<not imported>
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-/
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#guard_msgs in
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#print trfl
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/-- error: dsimp made no progress -/
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#guard_msgs in
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example : P f := by dsimp only [t]; exact hP1
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example : P f := by simp only [t]; exact hP1
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/-- error: dsimp made no progress -/
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#guard_msgs in
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example : P f := by dsimp only [trfl]; exact hP1
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/-- error: dsimp made no progress -/
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#guard_msgs in
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example : P f := by dsimp only [trfl']; exact hP1
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example : P fexp := by dsimp only [fexp_trfl]; exact hP1
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example : P fexp := by dsimp only [fexp_trfl']; exact hP1
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example : t = t := by dsimp only [trfl]
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/--
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error: Invalid field `eq_def`: The environment does not contain `Nat.eq_def`
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f
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has type
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Nat
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-/
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#guard_msgs in
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#check f.eq_def
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/--
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error: Invalid field `eq_unfold`: The environment does not contain `Nat.eq_unfold`
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f
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has type
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Nat
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-/
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#guard_msgs in
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#check f.eq_unfold
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/-- error: unknown constant 'f_struct.eq_1' -/
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#guard_msgs in
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#check f_struct.eq_1
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/-- error: unknown constant 'f_struct.eq_def' -/
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#guard_msgs in
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#check f_struct.eq_def
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/-- error: unknown constant 'f_struct.eq_unfold' -/
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#guard_msgs in
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#check f_struct.eq_unfold
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/-- error: unknown constant 'f_wfrec.eq_1' -/
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#guard_msgs in
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#check f_wfrec.eq_1
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/-- error: unknown constant 'f_wfrec.eq_def' -/
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#guard_msgs in
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#check f_wfrec.eq_def
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/-- error: unknown constant 'f_wfrec.eq_unfold' -/
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#guard_msgs in
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#check f_wfrec.eq_unfold
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/-- error: unknown constant 'f_wfrec.induct_unfolding' -/
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#guard_msgs(pass trace, all) in
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#check f_wfrec.induct_unfolding
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/-- info: f_exp_wfrec.eq_1 (x✝ : Nat) : f_exp_wfrec 0 x✝ = x✝ -/
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#guard_msgs in
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#check f_exp_wfrec.eq_1
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/--
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info: f_exp_wfrec.eq_def (x✝ x✝¹ : Nat) :
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f_exp_wfrec x✝ x✝¹ =
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match x✝, x✝¹ with
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| 0, acc => acc
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| n.succ, acc => f_exp_wfrec n (acc + 1)
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-/
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#guard_msgs in
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#check f_exp_wfrec.eq_def
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/--
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info: f_exp_wfrec.eq_unfold :
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f_exp_wfrec = fun x x_1 =>
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match x, x_1 with
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| 0, acc => acc
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| n.succ, acc => f_exp_wfrec n (acc + 1)
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-/
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#guard_msgs in
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#check f_exp_wfrec.eq_unfold
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/--
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info: f_exp_wfrec.induct_unfolding (motive : Nat → Nat → Nat → Prop) (case1 : ∀ (acc : Nat), motive 0 acc acc)
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(case2 : ∀ (n acc : Nat), motive n (acc + 1) (f_exp_wfrec n (acc + 1)) → motive n.succ acc (f_exp_wfrec n (acc + 1)))
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(a✝ a✝¹ : Nat) : motive a✝ a✝¹ (f_exp_wfrec a✝ a✝¹)
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-/
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#guard_msgs(pass trace, all) in
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#check f_exp_wfrec.induct_unfolding
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