-
Notifications
You must be signed in to change notification settings - Fork 21
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge pull request #299 from proux01/master_815
Master branch compiles on Coq 8.15
- Loading branch information
Showing
4 changed files
with
145 additions
and
5 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Original file line number | Diff line number | Diff line change |
---|---|---|
@@ -0,0 +1,142 @@ | ||
HB: AddMonoid_of_TYPE is a factory | ||
(from "./examples/demo1/hierarchy_5.v", line 10) | ||
HB: AddMonoid_of_TYPE operations and axioms are: | ||
- zero | ||
- add | ||
- addrA | ||
- add0r | ||
- addr0 | ||
HB: AddMonoid_of_TYPE requires the following mixins: | ||
HB: AddMonoid_of_TYPE provides the following mixins: | ||
- hierarchy_5.AddMonoid_of_TYPE | ||
|
||
HB: AddMonoid_of_TYPE.Build is a factory constructor | ||
(from "./examples/demo1/hierarchy_5.v", line 10) | ||
HB: AddMonoid_of_TYPE.Build requires its subject to be already equipped with: | ||
HB: AddMonoid_of_TYPE.Build provides the following mixins: | ||
- hierarchy_5.AddMonoid_of_TYPE | ||
HB: arguments: AddMonoid_of_TYPE.Build S zero add addrA add0r addr0 | ||
- S : Type | ||
- zero : AddMonoid.sort S | ||
- add : S -> S -> S | ||
- addrA : associative add | ||
- add0r : left_id 0%G add | ||
- addr0 : right_id 0%G add | ||
|
||
HB: AddAG.type is a structure (from "./examples/demo1/hierarchy_5.v", line 73) | ||
HB: AddAG.type characterizing operations and axioms are: | ||
- addNr | ||
- opp | ||
HB: hierarchy_5.AddAG is a factory for the following mixins: | ||
- hierarchy_5.AddMonoid_of_TYPE | ||
- hierarchy_5.AddComoid_of_AddMonoid | ||
- hierarchy_5.AddAG_of_AddComoid (* new, not from inheritance *) | ||
HB: hierarchy_5.AddAG inherits from: | ||
- hierarchy_5.AddMonoid | ||
- hierarchy_5.AddComoid | ||
HB: hierarchy_5.AddAG is inherited by: | ||
- hierarchy_5.Ring | ||
|
||
HB: hierarchy_5.AddMonoid.type is a structure | ||
(from "./examples/demo1/hierarchy_5.v", line 17) | ||
HB: hierarchy_5.AddMonoid.type characterizing operations and axioms are: | ||
- addr0 | ||
- add0r | ||
- addrA | ||
- add | ||
- zero | ||
HB: hierarchy_5.AddMonoid is a factory for the following mixins: | ||
- hierarchy_5.AddMonoid_of_TYPE (* new, not from inheritance *) | ||
HB: hierarchy_5.AddMonoid inherits from: | ||
HB: hierarchy_5.AddMonoid is inherited by: | ||
- hierarchy_5.AddComoid | ||
- hierarchy_5.AddAG | ||
- hierarchy_5.BiNearRing | ||
- hierarchy_5.SemiRing | ||
- hierarchy_5.Ring | ||
|
||
HB: Ring_of_AddAG is a factory | ||
(from "./examples/demo1/hierarchy_5.v", line 108) | ||
HB: Ring_of_AddAG operations and axioms are: | ||
- one | ||
- mul | ||
- mulrA | ||
- mulr1 | ||
- mul1r | ||
- mulrDl | ||
- mulrDr | ||
HB: Ring_of_AddAG requires the following mixins: | ||
- hierarchy_5.AddMonoid_of_TYPE | ||
- hierarchy_5.AddComoid_of_AddMonoid | ||
- hierarchy_5.AddAG_of_AddComoid | ||
HB: Ring_of_AddAG provides the following mixins: | ||
- hierarchy_5.BiNearRing_of_AddMonoid | ||
Doc: Builds a Ring from an Abelian Group: the absorbing properties mul0r and | ||
mul0r are derived from addrC and the other ring axioms, following a proof | ||
of Hankel (Gerhard Betsch. On the beginnings and development of near-ring | ||
theory. In Near-rings and near-fields. Proceedings of the conference held | ||
in Fredericton, New Brunswick, July 18-24, 1993, pages 1–11. Mathematics | ||
and its Applications, 336. Kluwer Academic Publishers Group, Dordrecht, | ||
1995). | ||
|
||
HB: Ring_of_AddAG.Build is a factory constructor | ||
(from "./examples/demo1/hierarchy_5.v", line 108) | ||
HB: Ring_of_AddAG.Build requires its subject to be already equipped with: | ||
- hierarchy_5.AddMonoid_of_TYPE | ||
- hierarchy_5.AddComoid_of_AddMonoid | ||
- hierarchy_5.AddAG_of_AddComoid | ||
HB: Ring_of_AddAG.Build provides the following mixins: | ||
- hierarchy_5.BiNearRing_of_AddMonoid | ||
HB: arguments: Ring_of_AddAG.Build A [one] [mul] mulrA mulr1 mul1r mulrDl mulrDr | ||
- A : Type | ||
- one : A | ||
- mul : A -> A -> A | ||
- mulrA : associative mul | ||
- mulr1 : left_id one mul | ||
- mul1r : right_id one mul | ||
- mulrDl : left_distributive mul add | ||
- mulrDr : right_distributive mul add | ||
Doc: Builds a Ring from an Abelian Group: the absorbing properties mul0r and | ||
mul0r are derived from addrC and the other ring axioms, following a proof | ||
of Hankel (Gerhard Betsch. On the beginnings and development of near-ring | ||
theory. In Near-rings and near-fields. Proceedings of the conference held | ||
in Fredericton, New Brunswick, July 18-24, 1993, pages 1–11. Mathematics | ||
and its Applications, 336. Kluwer Academic Publishers Group, Dordrecht, | ||
1995). | ||
|
||
HB: add is an operation of structure hierarchy_5.AddMonoid | ||
(from "./examples/demo1/hierarchy_5.v", line 17) | ||
HB: add comes from mixin hierarchy_5.AddMonoid_of_TYPE | ||
(from "./examples/demo1/hierarchy_5.v", line 10) | ||
|
||
HB: AddAG.sort is a canonical projection | ||
(from "./examples/demo1/hierarchy_5.v", line 73) | ||
HB: AddAG.sort has the following canonical values: | ||
- @eta | ||
- Ring.sort (from "./examples/demo1/hierarchy_5.v", line 196) | ||
- Z | ||
|
||
HB: AddAG.sort is a coercion from hierarchy_5.AddAG to Sortclass | ||
(from "./examples/demo1/hierarchy_5.v", line 73) | ||
|
||
HB: Z is canonically equipped with mixins: | ||
- hierarchy_5.AddMonoid | ||
hierarchy_5.AddComoid | ||
hierarchy_5.AddAG | ||
(from "(stdin)", line 5) | ||
- hierarchy_5.BiNearRing | ||
hierarchy_5.SemiRing | ||
hierarchy_5.Ring | ||
(from "(stdin)", line 10) | ||
|
||
HB: hierarchy_5_Ring_class__to__hierarchy_5_SemiRing_class is a coercion from | ||
hierarchy_5.Ring to hierarchy_5.SemiRing | ||
(from "./examples/demo1/hierarchy_5.v", line 196) | ||
|
||
HB: hierarchy_5_Ring__to__hierarchy_5_SemiRing is a coercion from | ||
hierarchy_5.Ring to hierarchy_5.SemiRing | ||
(from "./examples/demo1/hierarchy_5.v", line 196) | ||
|
||
HB: todo HB.about for builder from hierarchy_5.Ring_of_AddAG to | ||
hierarchy_5.BiNearRing_of_AddMonoid | ||
HB: synthesized in file File "(stdin)", line 5, column 122, character 127: |