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Lean.Parser.Tactic

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    match performs case analysis on one or more expressions. See Induction and Recursion. The syntax for the match tactic is the same as term-mode match, except that the match arms are tactics instead of expressions.

    example (n : Nat) : n = n := by
      match n with
      | 0 => rfl
      | i+1 => simp
    
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      Introduces one or more hypotheses, optionally naming and/or pattern-matching them. For each hypothesis to be introduced, the remaining main goal's target type must be a let or function type.

      • intro by itself introduces one anonymous hypothesis, which can be accessed by e.g. assumption. It is equivalent to intro _.
      • intro x y introduces two hypotheses and names them. Individual hypotheses can be anonymized via _, given a type ascription, or matched against a pattern:
        -- ... ⊢ α × β → ...
        intro (a, b)
        -- ..., a : α, b : β ⊢ ...
        
      • intro rfl is short for intro h; subst h, if h is an equality where the left-hand or right-hand side is a variable.
      • Alternatively, intro can be combined with pattern matching much like fun:
        intro
        | n + 1, 0 => tac
        | ...
        
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