leanprover / leanprover/lean4

`split` tactic introduces useless hypothesis

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Dominant language
Lean
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Description

Prerequisites

Please put an X between the brackets as you perform the following steps:

Description
First example:
example {n : Nat} : (match n with | 0 => 1 | n + 1 => n + 1) = n + 1 := by
  split

here we get the goals

n✝ : Nat
⊢ 1 = 0 + 1


n✝¹ n✝ : Nat
⊢ n✝ + 1 = n✝.succ + 1

but it would be nicer if this was

⊢ 1 = 0 + 1


n✝ : Nat
⊢ n✝ + 1 = n✝.succ + 1
Second example:
example : (fun foo => match foo with | 0 => 1 | n + 1 => n + 2) = (fun bar => bar + 1) := by
  ext baz
  split

here we get the goals

foo✝ : Nat
⊢ 1 = 0 + 1


foo✝ n✝ : Nat
⊢ n✝ + 2 = n✝.succ + 1

but it would be nicer if this was

⊢ 1 = 0 + 1


n✝ : Nat
⊢ n✝ + 2 = n✝.succ + 1
Versions

4.21.0-nightly-2025-05-12 on live.lean-lang.org

Impact

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Contributor guide

Open the contributing guide

First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

No source file or test entry point is named. Start by running the two minimal examples against the Lean nightly version to confirm the extra hypotheses, then locate the implementation and tests for the split tactic. Done means both examples produce only the necessary hypotheses while preserving their stated goals.

Written by the indexing model from the issue text.

Assessment

Domain
compilers
Issue type
Bug
Difficulty
4/5
Estimated time
3-5 days
Activity status
Stale
Clarity
Clearly specified
Newbie friendliness
42/100

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