62f14514da
This PR updates various error messages produced by or associated with built-in tactics and adapts their formatting to current conventions.
68 lines
1.4 KiB
Text
68 lines
1.4 KiB
Text
def fib : Nat → Nat
|
||
| 0 => 0
|
||
| 1 => 1
|
||
| n+2 => fib n + fib (n+1)
|
||
termination_by n => n
|
||
|
||
/--
|
||
error: Failed: `fail` tactic was invoked
|
||
⊢ fib 8 + fib (8 + 1) = 55
|
||
-/
|
||
#guard_msgs in
|
||
example : fib 10 = 55 := by
|
||
unfold fib
|
||
fail
|
||
|
||
def ack : Nat → Nat → Nat
|
||
| 0, m => m + 1
|
||
| n+1, 0 => ack n 1
|
||
| n+1, m+1 => ack n (ack (n+1) m)
|
||
termination_by n m => (n, m)
|
||
|
||
/--
|
||
error: Failed: `fail` tactic was invoked
|
||
⊢ ack 1 (ack (1 + 1) 1) = 7
|
||
-/
|
||
#guard_msgs in
|
||
example : ack 2 2 = 7 := by
|
||
unfold ack
|
||
fail
|
||
|
||
-- This checks that we can unfold definitions in the prelude
|
||
/--
|
||
error: Failed: `fail` tactic was invoked
|
||
α : Type u_1
|
||
as : Array α
|
||
i : Nat
|
||
j : Fin as.size
|
||
⊢ (if i < ↑j then
|
||
let j' := ⟨↑j - 1, ⋯⟩;
|
||
let as_1 := as.swap ↑j' ↑j ⋯ ⋯;
|
||
insertIdx.loop i as_1 ⟨↑j', ⋯⟩
|
||
else as).size =
|
||
as.size
|
||
-/
|
||
#guard_msgs in
|
||
@[simp] private theorem Array.size_insertIdx_loop (as : Array α) (i : Nat) (j : Fin as.size) :
|
||
(insertIdx.loop i as j).size = as.size := by
|
||
unfold insertIdx.loop
|
||
fail
|
||
|
||
|
||
|
||
theorem fib_eq_fib (n : Nat) : n ≤ fib (n + 2) :=
|
||
match h : n with
|
||
| 0 => by simp [fib]
|
||
| 1 => by simp [fib]
|
||
| n+2 => by
|
||
have := fib_eq_fib n
|
||
have := fib_eq_fib (n+1)
|
||
simp only [fib] at *
|
||
omega
|
||
termination_by n
|
||
|
||
-- This should not exist!
|
||
|
||
/-- error: Unknown constant `fib_eq_fib.eq_def` -/
|
||
#guard_msgs in
|
||
#check fib_eq_fib.eq_def
|