algebra.hierarchy_design
⟷
Mathlib.Algebra.HierarchyDesign
The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.
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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,7 +3,7 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Eric Wieser
-/
-import Mathbin.Tactic.DocCommands
+import Tactic.DocCommands
#align_import algebra.hierarchy_design from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Eric Wieser
-
-! This file was ported from Lean 3 source module algebra.hierarchy_design
-! leanprover-community/mathlib commit 448144f7ae193a8990cb7473c9e9a01990f64ac7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Tactic.DocCommands
+#align_import algebra.hierarchy_design from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# Documentation of the algebraic hierarchy
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
All of these changes appear to be oversights to me.
@@ -109,7 +109,7 @@ when applicable:
See `Mathlib.Data.Equiv.TransferInstance` for more examples. See also the `transport` tactic.
```
def Equiv.Z (e : α ≃ β) [Z β] : Z α := ...
- /- When there is a new notion of `Z`-equiv: -/
+ /-- When there is a new notion of `Z`-equiv: -/
def Equiv.ZEquiv (e : α ≃ β) [Z β] : by { letI := Equiv.Z e, exact α ≃Z β } := ...
```
These were lost in the port because they were in the file tactic/lint/type_classes.lean
, which is an unported linter.
@@ -207,3 +207,31 @@ For example, you might have another class that takes `[LE α]` as an argument, a
sometimes comes from `Units.Preorder` and sometimes from `Units.PartialOrder`.
Therefore, `Preorder.lift` and `PartialOrder.lift` are marked `@[reducible]`.
-/
+
+library_note "implicit instance arguments"/--
+There are places where typeclass arguments are specified with implicit `{}` brackets instead of
+the usual `[]` brackets. This is done when the instances can be inferred because they are implicit
+arguments to the type of one of the other arguments. When they can be inferred from these other
+arguments, it is faster to use this method than to use type class inference.
+
+For example, when writing lemmas about `(f : α →+* β)`, it is faster to specify the fact that `α`
+and `β` are `Semiring`s as `{rα : Semiring α} {rβ : Semiring β}` rather than the usual
+`[Semiring α] [Semiring β]`.
+-/
+
+library_note "lower instance priority"/--
+Certain instances always apply during type-class resolution. For example, the instance
+`AddCommGroup.toAddGroup {α} [AddCommGroup α] : AddGroup α` applies to all type-class
+resolution problems of the form `AddGroup _`, and type-class inference will then do an
+exhaustive search to find a commutative group. These instances take a long time to fail.
+Other instances will only apply if the goal has a certain shape. For example
+`Int.instAddGroupInt : AddGroup ℤ` or
+`Prod.instAddGroup {α β} [AddGroup α] [AddGroup β] : AddGroup (α × β)`. Usually these instances
+will fail quickly, and when they apply, they are almost always the desired instance.
+For this reason, we want the instances of the second type (that only apply in specific cases) to
+always have higher priority than the instances of the first type (that always apply).
+See also [mathlib#1561](https://github.com/leanprover-community/mathlib/issues/1561).
+
+Therefore, if we create an instance that always applies, we set the priority of these instances to
+100 (or something similar, which is below the default value of 1000).
+-/
$
with <|
(#9319)
See Zulip thread for the discussion.
@@ -69,7 +69,7 @@ when applicable:
* Instances transferred elementwise to pi types, like `Pi.Monoid`.
See `Mathlib.Algebra.Group.Pi` for more examples.
```
- instance Pi.Z [∀ i, Z $ f i] : Z (Π i : I, f i) := ...
+ instance Pi.Z [∀ i, Z <| f i] : Z (Π i : I, f i) := ...
```
* Instances transferred to `MulOpposite M`, like `MulOpposite.Monoid`.
See `Mathlib.Algebra.Opposites` for more examples.
@@ -2,13 +2,11 @@
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Eric Wieser
-
-! This file was ported from Lean 3 source module algebra.hierarchy_design
-! leanprover-community/mathlib commit 41cf0cc2f528dd40a8f2db167ea4fb37b8fde7f3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Std.Util.LibraryNote
+import Mathlib.Mathport.Rename
+
+#align_import algebra.hierarchy_design from "leanprover-community/mathlib"@"41cf0cc2f528dd40a8f2db167ea4fb37b8fde7f3"
/-!
# Documentation of the algebraic hierarchy
@@ -64,22 +64,22 @@ one should attempt to add the following constructions and results,
when applicable:
* Instances transferred elementwise to products, like `Prod.Monoid`.
- See `Mathilb.Algebra.Group.Prod` for more examples.
+ See `Mathlib.Algebra.Group.Prod` for more examples.
```
instance Prod.Z [Z M] [Z N] : Z (M × N) := ...
```
* Instances transferred elementwise to pi types, like `Pi.Monoid`.
- See `Mathilb.Algebra.Group.Pi` for more examples.
+ See `Mathlib.Algebra.Group.Pi` for more examples.
```
instance Pi.Z [∀ i, Z $ f i] : Z (Π i : I, f i) := ...
```
* Instances transferred to `MulOpposite M`, like `MulOpposite.Monoid`.
- See `Mathilb.Algebra.Opposites` for more examples.
+ See `Mathlib.Algebra.Opposites` for more examples.
```
instance MulOpposite.Z [Z M] : Z (MulOpposite M) := ...
```
* Instances transferred to `ULift M`, like `ULift.Monoid`.
- See `Mathilb.Algebra.Group.ULift` for more examples.
+ See `Mathlib.Algebra.Group.ULift` for more examples.
```
instance ULift.Z [Z M] : Z (ULift M) := ...
```
@@ -87,7 +87,7 @@ when applicable:
injective or surjective functions that agree on the data fields,
like `Function.Injective.monoid` and `Function.Surjective.monoid`.
We make these definitions `@[reducible]`, see note [reducible non-instances].
- See `Mathilb.Algebra.Group.InjSurj` for more examples.
+ See `Mathlib.Algebra.Group.InjSurj` for more examples.
```
@[reducible]
def Function.Injective.Z [Z M₂] (f : M₁ → M₂) (hf : f.Injective)
@@ -98,17 +98,17 @@ when applicable:
(one : f 1 = 1) (mul : ∀ x y, f (x * y) = f x * f y) : Z M₂ := ...
```
* Instances transferred elementwise to `Finsupp`s, like `Finsupp.semigroup`.
- See `Mathilb.Data.Finsupp.Pointwise` for more examples.
+ See `Mathlib.Data.Finsupp.Pointwise` for more examples.
```
instance FinSupp.Z [Z β] : Z (α →₀ β) := ...
```
* Instances transferred elementwise to `Set`s, like `Set.monoid`.
- See `Mathilb.Algebra.Pointwise` for more examples.
+ See `Mathlib.Algebra.Pointwise` for more examples.
```
instance Set.Z [Z α] : Z (Set α) := ...
```
* Definitions for transferring the entire structure across an equivalence, like `Equiv.monoid`.
- See `Mathilb.Data.Equiv.TransferInstance` for more examples. See also the `transport` tactic.
+ See `Mathlib.Data.Equiv.TransferInstance` for more examples. See also the `transport` tactic.
```
def Equiv.Z (e : α ≃ β) [Z β] : Z α := ...
/- When there is a new notion of `Z`-equiv: -/
@@ -133,7 +133,7 @@ you should provide instances transferring
Typically this is done using the `Function.Injective.Z` definition mentioned above.
```
instance SubY.toZ [Z α] : Z (SubY α) :=
-coe_injective.Z coe ...
+ coe_injective.Z coe ...
```
## Morphisms and equivalences
I ran codespell Mathlib
and got tired halfway through the suggestions.
@@ -32,7 +32,7 @@ especially once interactions between algebraic and order/topological/etc structu
In mathlib, we try to avoid this by only introducing new algebraic typeclasses either
1. when there is "real mathematics" to be done with them, or
-2. when there is a meaninful gain in simplicity by factoring out a common substructure.
+2. when there is a meaningful gain in simplicity by factoring out a common substructure.
(As examples, at this point we don't have `Loop`, or `UnitalMagma`,
but we do have `LieSubmodule` and `TopologicalField`!
The script used to do this is included. The yaml file was obtained from https://raw.githubusercontent.com/wiki/leanprover-community/mathlib/mathlib4-port-status.md
@@ -2,6 +2,11 @@
Copyright (c) 2021 Scott Morrison. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Scott Morrison, Eric Wieser
+
+! This file was ported from Lean 3 source module algebra.hierarchy_design
+! leanprover-community/mathlib commit 41cf0cc2f528dd40a8f2db167ea4fb37b8fde7f3
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Std.Util.LibraryNote
All dependencies are ported!