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-rw-r--r--tests/lean/Hashmap/Properties.lean35
1 files changed, 19 insertions, 16 deletions
diff --git a/tests/lean/Hashmap/Properties.lean b/tests/lean/Hashmap/Properties.lean
index 96b8193d..5d340b5c 100644
--- a/tests/lean/Hashmap/Properties.lean
+++ b/tests/lean/Hashmap/Properties.lean
@@ -285,7 +285,7 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value
| none => nhm.len_s = hm.len_s + 1
| some _ => nhm.len_s = hm.len_s) := by
rw [insert_no_resize]
- simp [hash_key]
+ simp only [hash_key, bind_tc_ret] -- TODO: annoying
have _ : (Vec.len (List α) hm.slots).val ≠ 0 := by checkpoint
intro
simp_all [inv]
@@ -297,10 +297,9 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value
simp [hinv]
-- TODO: we want to automate that
simp [*, Int.emod_lt_of_pos]
- -- have h := Primitives.Vec.index_mut_spec hm.slots hash_mod
-- TODO: change the spec of Vec.index_mut to introduce a let-binding.
-- or: make progress introduce the let-binding by itself (this is clearer)
- progress
+ progress as ⟨ l, h_leq ⟩
-- TODO: make progress use the names written in the goal
progress as ⟨ inserted ⟩
rw [if_update_eq] -- TODO: necessary because we don't have a join
@@ -311,38 +310,42 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value
:= by
if inserted then
simp [*]
- have : hm.num_entries.val + (Usize.ofInt 1).val ≤ Usize.max := by
+ have hbounds : hm.num_entries.val + (Usize.ofInt 1).val ≤ Usize.max := by
simp [lookup] at hnsat
simp_all
simp [inv] at hinv
int_tac
- progress
- simp_all
+ -- TODO: progress fails in command line mode with "index out of bounds"
+ -- and I have no idea how to fix this. The error happens after progress
+ -- introduced the new goals. It must be when we exit the "withApp", etc.
+ -- helpers.
+ have ⟨ z, hp ⟩ := Usize.add_spec hbounds
+ simp [hp]
else
- simp_all [Pure.pure]
+ simp [*, Pure.pure]
progress as ⟨ i0 ⟩
-- TODO: progress "eager" to match premises with assumptions while instantiating
-- meta-variables
- have h_slot : slot_s_inv_hash hm.slots.length (hash_mod_key key hm.slots.length)
- (List.v (List.index (hm.slots.val) hash_mod.val)) := by
+ have h_slot : slot_s_inv_hash hm.slots.length (hash_mod_key key hm.slots.length) l.v
+ := by
simp [inv] at hinv
have h := (hinv.right.left hash_mod.val (by assumption) (by assumption)).right
simp [slot_t_inv, hhm] at h
- simp [h, hhm]
- have hd : distinct_keys (hm.slots.v.index hash_mod.val).v := by checkpoint
+ simp [h, hhm, h_leq]
+ have hd : distinct_keys l.v := by checkpoint
simp [inv, slots_t_inv, slot_t_inv] at hinv
have h := hinv.right.left hash_mod.val (by assumption) (by assumption)
- simp [h]
+ simp [h, h_leq]
-- TODO: hide the variables and only keep the props
-- TODO: allow providing terms to progress to instantiate the meta variables
-- which are not propositions
progress as ⟨ l0, _, _, _, hlen .. ⟩
- -- Finishing the proof
progress keep hv as ⟨ v, h_veq ⟩
-- TODO: update progress to automate that
let nhm : HashMap α := { num_entries := i0, max_load_factor := hm.max_load_factor, max_load := hm.max_load, slots := v }
exists nhm
- -- TODO: later I don't want to inline nhm - we need to control simp
+ -- TODO: later I don't want to inline nhm - we need to control simp: deactivate
+ -- zeta reduction?
have hupdt : lookup nhm key = some value := by checkpoint
simp [lookup, List.lookup] at *
simp_all
@@ -387,7 +390,7 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value
rename_i heq <;>
simp [heq] at hlen <;>
-- TODO: canonize addition by default? We need a tactic to simplify arithmetic equalities
- -- with addition and substractions ((ℤ, +) is a ring or something - there should exist a tactic
+ -- with addition and substractions ((ℤ, +) is a group or something - there should exist a tactic
-- somewhere in mathlib?)
simp [Int.add_assoc, Int.add_comm, Int.add_left_comm] <;>
int_tac
@@ -403,7 +406,7 @@ theorem insert_no_resize_spec {α : Type} (hm : HashMap α) (key : Usize) (value
. simp [slots_t_inv, slot_t_inv] at *
intro i hipos _
have _ := hinv.right.left i hipos (by simp_all)
- simp [hhm, h_veq] at * -- TODO: annoying
+ simp [hhm, h_veq] at * -- TODO: annoying, we do that because simp_all fails below
-- We need a case disjunction
if h_ieq : i = key.val % _root_.List.len hm.slots.val then
-- TODO: simp_all fails: "(deterministic) timeout at 'whnf'"