9d427fdfcf
This PR adds support for interactivity to the combined "try this" messages that were introduced in #9966. In doing so, it moves the link to apply a suggestion to a separate `[apply]` button in front of the suggestion. Hints with diffs remain unchanged, as they did not previously support interacting with terms in the diff, either. <img width="379" height="256" alt="Suggestion with interactive message" src="https://github.com/user-attachments/assets/7838ebf6-0613-46e7-bc88-468a05acbf51" />
34 lines
1 KiB
Text
34 lines
1 KiB
Text
def Set := Nat → Prop
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namespace Set
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def singleton (a : Nat) : Set := fun b ↦ b = a
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def compl (s : Set) : Set := fun x ↦ ¬ s x
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@[simp]
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theorem compl_iff (s : Set) (x : Nat) : s.compl x ↔ ¬ s x := Iff.rfl
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@[simp]
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theorem singleton_iff {a b : Nat} : singleton b a ↔ a = b := Iff.rfl
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open Classical
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noncomputable def indicator (s : Set) (x : Nat) : Nat := if s x then 1 else 0
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@[simp] -- remove `simp` attribute --> works (and the trace changes)
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theorem indicator_of {s : Set} {a : Nat} (h : s a) : indicator s a = 1 := if_pos h
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@[simp]
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theorem indicator_of_not {s : Set} {a : Nat} (h : ¬ s a) : indicator s a = 0 := if_neg h
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/--
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info: Try this:
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[apply] simp only [compl_iff, singleton_iff, not_true_eq_false, not_false_eq_true, indicator_of_not]
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-/
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#guard_msgs in
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theorem test : indicator (compl <| singleton 0) 0 = 0 := by
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simp? -- should not leave out `singleton_iff`
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theorem test' : indicator (compl <| singleton 0) 0 = 0 := by
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simp only [compl_iff, singleton_iff, not_true_eq_false, not_false_eq_true, indicator_of_not]
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