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authorSon Ho2023-06-02 17:23:29 +0200
committerSon HO2023-06-04 21:54:38 +0200
commitdc46dbb9a01329c39673fedc195006745c365030 (patch)
treedf1c93fbb2cb6a0e4e7b534d2b624a3e2b999ad5 /tests/hol4/hashmap_on_disk
parent54afbf3a8b71ee729641ee3024d19aaf8fa92a67 (diff)
Update the HOL4 proofs for the last *release* version of HOL4
Diffstat (limited to 'tests/hol4/hashmap_on_disk')
-rw-r--r--tests/hol4/hashmap_on_disk/hashmapMain_TypesTheory.sig108
1 files changed, 54 insertions, 54 deletions
diff --git a/tests/hol4/hashmap_on_disk/hashmapMain_TypesTheory.sig b/tests/hol4/hashmap_on_disk/hashmapMain_TypesTheory.sig
index bea7eb76..a3e770ea 100644
--- a/tests/hol4/hashmap_on_disk/hashmapMain_TypesTheory.sig
+++ b/tests/hol4/hashmap_on_disk/hashmapMain_TypesTheory.sig
@@ -5,18 +5,18 @@ sig
(* Definitions *)
val hashmap_hash_map_t_TY_DEF : thm
val hashmap_hash_map_t_case_def : thm
+ val hashmap_hash_map_t_hashmap_hash_map_max_load : thm
+ val hashmap_hash_map_t_hashmap_hash_map_max_load_factor : thm
+ val hashmap_hash_map_t_hashmap_hash_map_max_load_factor_fupd : thm
+ val hashmap_hash_map_t_hashmap_hash_map_max_load_fupd : thm
+ val hashmap_hash_map_t_hashmap_hash_map_num_entries : thm
+ val hashmap_hash_map_t_hashmap_hash_map_num_entries_fupd : thm
+ val hashmap_hash_map_t_hashmap_hash_map_slots : thm
+ val hashmap_hash_map_t_hashmap_hash_map_slots_fupd : thm
val hashmap_hash_map_t_size_def : thm
val hashmap_list_t_TY_DEF : thm
val hashmap_list_t_case_def : thm
val hashmap_list_t_size_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_factor_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_factor_fupd_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_fupd_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_num_entries_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_num_entries_fupd_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_slots_def : thm
- val recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_slots_fupd_def : thm
(* Theorems *)
val EXISTS_hashmap_hash_map_t : thm
@@ -73,92 +73,92 @@ sig
hashmap_hash_map_t_CASE (hashmap_hash_map_t a0 a1 a2 a3) f =
f a0 a1 a2 a3
- [hashmap_hash_map_t_size_def] Definition
-
- ⊢ ∀f a0 a1 a2 a3.
- hashmap_hash_map_t_size f (hashmap_hash_map_t a0 a1 a2 a3) =
- 1 + pair_size (λv. 0) (λv. 0) a1
-
- [hashmap_list_t_TY_DEF] Definition
-
- ⊢ ∃rep.
- TYPE_DEFINITION
- (λa0'.
- ∀ $var$('hashmap_list_t').
- (∀a0'.
- (∃a0 a1 a2.
- a0' =
- (λa0 a1 a2.
- ind_type$CONSTR 0 (a0,a1)
- (ind_type$FCONS a2 (λn. ind_type$BOTTOM)))
- a0 a1 a2 ∧ $var$('hashmap_list_t') a2) ∨
- a0' =
- ind_type$CONSTR (SUC 0) (ARB,ARB)
- (λn. ind_type$BOTTOM) ⇒
- $var$('hashmap_list_t') a0') ⇒
- $var$('hashmap_list_t') a0') rep
-
- [hashmap_list_t_case_def] Definition
-
- ⊢ (∀a0 a1 a2 f v.
- hashmap_list_t_CASE (HashmapListCons a0 a1 a2) f v = f a0 a1 a2) ∧
- ∀f v. hashmap_list_t_CASE HashmapListNil f v = v
-
- [hashmap_list_t_size_def] Definition
-
- ⊢ (∀f a0 a1 a2.
- hashmap_list_t_size f (HashmapListCons a0 a1 a2) =
- 1 + (f a1 + hashmap_list_t_size f a2)) ∧
- ∀f. hashmap_list_t_size f HashmapListNil = 0
-
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_max_load] Definition
⊢ ∀u p u0 v.
(hashmap_hash_map_t u p u0 v).hashmap_hash_map_max_load = u0
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_factor_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_max_load_factor] Definition
⊢ ∀u p u0 v.
(hashmap_hash_map_t u p u0 v).hashmap_hash_map_max_load_factor =
p
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_factor_fupd_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_max_load_factor_fupd] Definition
⊢ ∀f u p u0 v.
hashmap_hash_map_t u p u0 v with
hashmap_hash_map_max_load_factor updated_by f =
hashmap_hash_map_t u (f p) u0 v
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_max_load_fupd_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_max_load_fupd] Definition
⊢ ∀f u p u0 v.
hashmap_hash_map_t u p u0 v with
hashmap_hash_map_max_load updated_by f =
hashmap_hash_map_t u p (f u0) v
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_num_entries_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_num_entries] Definition
⊢ ∀u p u0 v.
(hashmap_hash_map_t u p u0 v).hashmap_hash_map_num_entries = u
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_num_entries_fupd_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_num_entries_fupd] Definition
⊢ ∀f u p u0 v.
hashmap_hash_map_t u p u0 v with
hashmap_hash_map_num_entries updated_by f =
hashmap_hash_map_t (f u) p u0 v
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_slots_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_slots] Definition
⊢ ∀u p u0 v. (hashmap_hash_map_t u p u0 v).hashmap_hash_map_slots = v
- [recordtype_hashmap_hash_map_t_seldef_hashmap_hash_map_slots_fupd_def] Definition
+ [hashmap_hash_map_t_hashmap_hash_map_slots_fupd] Definition
⊢ ∀f u p u0 v.
hashmap_hash_map_t u p u0 v with
hashmap_hash_map_slots updated_by f =
hashmap_hash_map_t u p u0 (f v)
+ [hashmap_hash_map_t_size_def] Definition
+
+ ⊢ ∀f a0 a1 a2 a3.
+ hashmap_hash_map_t_size f (hashmap_hash_map_t a0 a1 a2 a3) =
+ 1 + pair_size (λv. 0) (λv. 0) a1
+
+ [hashmap_list_t_TY_DEF] Definition
+
+ ⊢ ∃rep.
+ TYPE_DEFINITION
+ (λa0'.
+ ∀ $var$('hashmap_list_t').
+ (∀a0'.
+ (∃a0 a1 a2.
+ a0' =
+ (λa0 a1 a2.
+ ind_type$CONSTR 0 (a0,a1)
+ (ind_type$FCONS a2 (λn. ind_type$BOTTOM)))
+ a0 a1 a2 ∧ $var$('hashmap_list_t') a2) ∨
+ a0' =
+ ind_type$CONSTR (SUC 0) (ARB,ARB)
+ (λn. ind_type$BOTTOM) ⇒
+ $var$('hashmap_list_t') a0') ⇒
+ $var$('hashmap_list_t') a0') rep
+
+ [hashmap_list_t_case_def] Definition
+
+ ⊢ (∀a0 a1 a2 f v.
+ hashmap_list_t_CASE (HashmapListCons a0 a1 a2) f v = f a0 a1 a2) ∧
+ ∀f v. hashmap_list_t_CASE HashmapListNil f v = v
+
+ [hashmap_list_t_size_def] Definition
+
+ ⊢ (∀f a0 a1 a2.
+ hashmap_list_t_size f (HashmapListCons a0 a1 a2) =
+ 1 + (f a1 + hashmap_list_t_size f a2)) ∧
+ ∀f. hashmap_list_t_size f HashmapListNil = 0
+
[EXISTS_hashmap_hash_map_t] Theorem
⊢ ∀P. (∃h. P h) ⇔