lean4-htt/tests/elab/dsimp1.lean
Garmelon 08eb78a5b2
chore: switch to new test/bench suite (#12590)
This PR sets up the new integrated test/bench suite. It then migrates
all benchmarks and some related tests to the new suite. There's also
some documentation and some linting.

For now, a lot of the old tests are left alone so this PR doesn't become
even larger than it already is. Eventually, all tests should be migrated
to the new suite though so there isn't a confusing mix of two systems.
2026-02-25 13:51:53 +00:00

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Text

def Nat.isZero (x : Nat) : Bool :=
match x with
| 0 => true
| _+1 => false
axiom P : Bool → Prop
axiom P_false : P false
/--
trace: x : Nat
⊢ P (1 + x).isZero
-/
#guard_msgs in
example (x : Nat) : P (1 + id x.succ.pred).isZero := by
dsimp
trace_state
simp [Nat.succ_add]
dsimp [Nat.isZero]
apply P_false
example (x : Nat) : P (id x.succ.succ).isZero := by
dsimp [Nat.isZero]
apply P_false
/--
trace: x : Nat
⊢ P false
-/
#guard_msgs in
example (x : Nat) : P (id x.succ.succ).isZero := by
dsimp [Nat.isZero.eq_2]
trace_state
apply P_false
example (x : Nat) : P (id x.succ.succ).isZero := by
dsimp!
apply P_false
@[simp] theorem isZero_succ (x : Nat) : (x + 1).isZero = false :=
rfl
theorem ex1 (x : Nat) : P (id x.succ.succ.pred).isZero := by
dsimp
apply P_false