lean4-htt/tests/lean/interactive/incrementalInduction.lean
Sebastian Ullrich f97a7d4234
feat: incremental elaboration of definition headers, bodies, and tactics (#3940)
Extends Lean's incremental reporting and reuse between commands into
various steps inside declarations:
* headers and bodies of each (mutual) definition/theorem
* `theorem ... := by` for each contained tactic step, including
recursively inside supported combinators currently consisting of
  * `·` (cdot), `case`, `next`
  * `induction`, `cases`
  * macros such as `next` unfolding to the above

![Recording 2024-05-10 at 11 07
32](https://github.com/leanprover/lean4/assets/109126/c9d67b6f-c131-4bc3-a0de-7d63eaf1bfc9)

*Incremental reuse* means not recomputing any such steps if they are not
affected by a document change. *Incremental reporting* includes the
parts seen in the recording above: the progress bar and messages. Other
language server features such as hover etc. are *not yet* supported
incrementally, i.e. they are shown only when the declaration has been
fully processed as before.

---------

Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
2024-05-22 13:23:30 +00:00

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/-! Incremental reuse in `induction` -/
--set_option trace.Elab.reuse true
theorem basic (n : Nat) : True := by
induction n with
| zero => sorry
| succ =>
dbg_trace "b 0"
dbg_trace "b 1"
dbg_trace "b 2"
--^ sync
--^ insert: ".5"
-- RESET
theorem nonFirst (n : Nat) : True := by
induction n with
| zero =>
dbg_trace "n 0"
dbg_trace "n 1"
--^ sync
--^ insert: ".5"
| succ =>
dbg_trace "n 2"
--^ sync
--^ insert: ".5"
-- RESET
-- currently the pre-tac will be re-executed even if we can reuse a specific branch's tactics
theorem preTac (n : Nat) : True := by
induction n with
dbg_trace "p -1"
| zero => sorry
| succ =>
dbg_trace "p 0"
dbg_trace "p 1"
--^ sync
--^ insert: ".5"
/-! No reuse in cases where branch is run more than once -/
-- RESET
theorem wildcard (n : Nat) : True := by
induction n with
| _ =>
dbg_trace "w 0"
dbg_trace "w 1"
--^ sync
--^ insert: ".5"
-- RESET
theorem preTacMulti (x : Nat × Nat × Nat) : True := by
induction x with
cases x
| mk x =>
dbg_trace "pm 0"
dbg_trace "pm 1"
--^ sync
--^ insert: ".5"
-- RESET
theorem cases (n : Nat) : True := by
cases n with
| zero =>
dbg_trace "c 0"
dbg_trace "c 1"
--^ sync
--^ insert: ".5"
| succ =>
dbg_trace "c 2"
--^ sync
--^ insert: ".5"