lean4-htt/tests/lean/run/1026.lean
Kyle Miller 68c006a95b
feat: transform nondependent lets into haves in declarations and equation lemmas (#8373)
This PR enables transforming nondependent `let`s into `have`s in a
number of contexts: the bodies of nonrecursive definitions, equation
lemmas, smart unfolding definitions, and types of theorems. A motivation
for this change is that when zeta reduction is disabled, `simp` can only
effectively rewrite `have` expressions (e.g. `split` uses `simp` with
zeta reduction disabled), and so we cache the nondependence calculations
by transforming `let`s to `have`s. The transformation can be disabled
using `set_option cleanup.letToHave false`.

Uses `Meta.letToHave`, introduced in #8954.
2025-06-29 19:45:45 +00:00

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Text

def foo (n : Nat) : Nat :=
if n = 0 then 0 else
let x := n - 1
have := match () with | _ => trivial
foo x
termination_by n
decreasing_by sorry
theorem ex : foo 0 = 0 := by
unfold foo
sorry
/--
info: foo.eq_def (n : Nat) :
foo n =
if n = 0 then 0
else
have x := n - 1;
have this := foo._proof_4;
foo x
-/
#guard_msgs in
#check foo.eq_def
/--
info: foo.eq_unfold :
foo = fun n =>
if n = 0 then 0
else
have x := n - 1;
have this := foo._proof_4;
foo x
-/
#guard_msgs in
#check foo.eq_unfold