algebra.order.ring.cone
⟷
Mathlib.Algebra.Order.Ring.Cone
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) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
-import Mathbin.Algebra.Order.Ring.Defs
+import Algebra.Order.Ring.Defs
#align_import algebra.order.ring.cone from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,14 +2,11 @@
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-
-! This file was ported from Lean 3 source module algebra.order.ring.cone
-! 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.Algebra.Order.Ring.Defs
+#align_import algebra.order.ring.cone from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# Constructing an ordered ring from a ring with a specified positive cone.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -53,9 +53,11 @@ add_decl_doc total_positive_cone.to_positive_cone
/-- Forget that a `total_positive_cone` in a ring respects the multiplicative structure. -/
add_decl_doc total_positive_cone.to_total_positive_cone
+#print Ring.PositiveCone.one_pos /-
theorem PositiveCone.one_pos (C : PositiveCone α) : C.Pos 1 :=
(C.pos_iff _).2 ⟨C.one_nonneg, fun h => one_ne_zero <| C.nonneg_antisymm C.one_nonneg h⟩
#align ring.positive_cone.one_pos Ring.PositiveCone.one_pos
+-/
end Ring
mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb
@@ -43,7 +43,7 @@ add_decl_doc positive_cone.to_positive_cone
/-- A total positive cone in a nontrivial ring induces a linear order. -/
@[nolint has_nonempty_instance]
structure TotalPositiveCone (α : Type _) [Ring α] extends PositiveCone α,
- AddCommGroup.TotalPositiveCone α
+ AddCommGroup.TotalPositiveCone α
#align ring.total_positive_cone Ring.TotalPositiveCone
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -53,12 +53,6 @@ add_decl_doc total_positive_cone.to_positive_cone
/-- Forget that a `total_positive_cone` in a ring respects the multiplicative structure. -/
add_decl_doc total_positive_cone.to_total_positive_cone
-/- warning: ring.positive_cone.one_pos -> Ring.PositiveCone.one_pos is a dubious translation:
-lean 3 declaration is
- forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), Ring.PositiveCone.Pos.{u1} α _inst_1 C (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))))))
-but is expected to have type
- forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), AddCommGroup.PositiveCone.pos.{u1} α (Ring.toAddCommGroup.{u1} α _inst_1) (Ring.PositiveCone.toPositiveCone.{u1} α _inst_1 C) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (Ring.toSemiring.{u1} α _inst_1))))
-Case conversion may be inaccurate. Consider using '#align ring.positive_cone.one_pos Ring.PositiveCone.one_posₓ'. -/
theorem PositiveCone.one_pos (C : PositiveCone α) : C.Pos 1 :=
(C.pos_iff _).2 ⟨C.one_nonneg, fun h => one_ne_zero <| C.nonneg_antisymm C.one_nonneg h⟩
#align ring.positive_cone.one_pos Ring.PositiveCone.one_pos
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -74,19 +74,10 @@ def StrictOrderedRing.mkOfPositiveCone (C : PositiveCone α) : StrictOrderedRing
OrderedAddCommGroup.mkOfPositiveCone
C.toPositiveCone with
exists_pair_ne := ⟨0, 1, fun h => by simpa [← h, C.pos_iff] using C.one_pos⟩
- zero_le_one := by
- change C.nonneg (1 - 0)
- convert C.one_nonneg
- simp
+ zero_le_one := by change C.nonneg (1 - 0); convert C.one_nonneg; simp
mul_pos := fun x y xp yp => by
change C.pos (x * y - 0)
- convert C.mul_pos x y
- (by
- convert xp
- simp)
- (by
- convert yp
- simp)
+ convert C.mul_pos x y (by convert xp; simp) (by convert yp; simp)
simp }
#align strict_ordered_ring.mk_of_positive_cone StrictOrderedRing.mkOfPositiveCone
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1
@@ -57,7 +57,7 @@ add_decl_doc total_positive_cone.to_total_positive_cone
lean 3 declaration is
forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), Ring.PositiveCone.Pos.{u1} α _inst_1 C (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))))))
but is expected to have type
- forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), AddCommGroup.PositiveCone.pos.{u1} α (Ring.toAddCommGroup.{u1} α _inst_1) (Ring.PositiveCone.toPositiveCone.{u1} α _inst_1 C) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))))
+ forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), AddCommGroup.PositiveCone.pos.{u1} α (Ring.toAddCommGroup.{u1} α _inst_1) (Ring.PositiveCone.toPositiveCone.{u1} α _inst_1 C) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (Ring.toSemiring.{u1} α _inst_1))))
Case conversion may be inaccurate. Consider using '#align ring.positive_cone.one_pos Ring.PositiveCone.one_posₓ'. -/
theorem PositiveCone.one_pos (C : PositiveCone α) : C.Pos 1 :=
(C.pos_iff _).2 ⟨C.one_nonneg, fun h => one_ne_zero <| C.nonneg_antisymm C.one_nonneg h⟩
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1
@@ -55,7 +55,7 @@ add_decl_doc total_positive_cone.to_total_positive_cone
/- warning: ring.positive_cone.one_pos -> Ring.PositiveCone.one_pos is a dubious translation:
lean 3 declaration is
- forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), Ring.PositiveCone.Pos.{u1} α _inst_1 C (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))))))
+ forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), Ring.PositiveCone.Pos.{u1} α _inst_1 C (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))))))
but is expected to have type
forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : Nontrivial.{u1} α] (C : Ring.PositiveCone.{u1} α _inst_1), AddCommGroup.PositiveCone.pos.{u1} α (Ring.toAddCommGroup.{u1} α _inst_1) (Ring.PositiveCone.toPositiveCone.{u1} α _inst_1 C) (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))))
Case conversion may be inaccurate. Consider using '#align ring.positive_cone.one_pos Ring.PositiveCone.one_posₓ'. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce7e9d53d4bbc38065db3b595cd5bd73c323bc1d
@@ -80,8 +80,7 @@ def StrictOrderedRing.mkOfPositiveCone (C : PositiveCone α) : StrictOrderedRing
simp
mul_pos := fun x y xp yp => by
change C.pos (x * y - 0)
- convert
- C.mul_pos x y
+ convert C.mul_pos x y
(by
convert xp
simp)
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Homogenises porting notes via capitalisation and addition of whitespace.
It makes the following changes:
@@ -65,7 +65,7 @@ def StrictOrderedRing.mkOfPositiveCone (C : PositiveCone α) : StrictOrderedRing
simp,
mul_pos := fun x y xp yp => by
change C.pos (x * y - 0)
- -- porting note: used to be convert, but it relied on unfolding definitions
+ -- Porting note: used to be convert, but it relied on unfolding definitions
rw [sub_zero]
exact C.mul_pos x y (by rwa [← sub_zero x]) (by rwa [← sub_zero y]) }
#align strict_ordered_ring.mk_of_positive_cone StrictOrderedRing.mkOfPositiveCone
PositiveCone
s to a new file (#10868)
Nothing else in the library (but a similar file about rings) depend on these constructors.
@@ -3,6 +3,7 @@ Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-/
+import Mathlib.Algebra.Order.Group.Cone
import Mathlib.Algebra.Order.Ring.Defs
#align_import algebra.order.ring.cone from "leanprover-community/mathlib"@"10b4e499f43088dd3bb7b5796184ad5216648ab1"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -16,13 +16,13 @@ import Mathlib.Algebra.Order.Ring.Defs
/-! ### Positive cones -/
-variable {α : Type _} [Ring α] [Nontrivial α]
+variable {α : Type*} [Ring α] [Nontrivial α]
namespace Ring
/-- A positive cone in a ring consists of a positive cone in underlying `AddCommGroup`,
which contains `1` and such that the positive elements are closed under multiplication. -/
-structure PositiveCone (α : Type _) [Ring α] extends AddCommGroup.PositiveCone α where
+structure PositiveCone (α : Type*) [Ring α] extends AddCommGroup.PositiveCone α where
/-- In a positive cone, `1` is `nonneg` -/
one_nonneg : nonneg 1
/-- In a positive cone, if `a` and `b` are `pos` then so is `a * b` -/
@@ -34,7 +34,7 @@ add_decl_doc PositiveCone.toPositiveCone
#align ring.positive_cone.to_positive_cone Ring.PositiveCone.toPositiveCone
/-- A total positive cone in a nontrivial ring induces a linear order. -/
-structure TotalPositiveCone (α : Type _) [Ring α] extends PositiveCone α,
+structure TotalPositiveCone (α : Type*) [Ring α] extends PositiveCone α,
AddCommGroup.TotalPositiveCone α
#align ring.total_positive_cone Ring.TotalPositiveCone
#align ring.total_positive_cone.to_positive_cone Ring.TotalPositiveCone.toPositiveCone_1
@@ -2,14 +2,11 @@
Copyright (c) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
-
-! This file was ported from Lean 3 source module algebra.order.ring.cone
-! leanprover-community/mathlib commit 10b4e499f43088dd3bb7b5796184ad5216648ab1
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Ring.Defs
+#align_import algebra.order.ring.cone from "leanprover-community/mathlib"@"10b4e499f43088dd3bb7b5796184ad5216648ab1"
+
/-!
# Constructing an ordered ring from a ring with a specified positive cone.
congr!
and convert
(#2606)
congr!
, convert
, and convert_to
to control parts of the congruence algorithm, in particular transparency settings when applying congruence lemmas.congr!
now applies congruence lemmas with reducible transparency by default. This prevents it from unfolding definitions when applying congruence lemmas. It also now tries both the LHS-biased and RHS-biased simp congruence lemmas, with a configuration option to set which it should try first.HEq
congruence lemma generator that gives each hypothesis access to the proofs of previous hypotheses. This means that if you have an equality ⊢ ⟨a, x⟩ = ⟨b, y⟩
of sigma types, congr!
turns this into goals ⊢ a = b
and ⊢ a = b → HEq x y
(note that congr!
will also auto-introduce a = b
for you in the second goal). This congruence lemma generator applies to more cases than the simp congruence lemma generator does.congr!
(and hence convert
) are more careful about applying lemmas that don't force definitions to unfold. There were a number of cases in mathlib where the implementation of congr
was being abused to unfold definitions.set_option trace.congr! true
you can see what congr!
sees when it is deciding on congruence lemmas.convert_to
to do using 1
when there is no using
clause, to match its documentation.Note that congr!
is more capable than congr
at finding a way to equate left-hand sides and right-hand sides, so you will frequently need to limit its depth with a using
clause. However, there is also a new heuristic to prevent considering unlikely-to-be-provable type equalities (controlled by the typeEqs
option), which can help limit the depth automatically.
There is also a predefined configuration that you can invoke with, for example, convert (config := .unfoldSameFun) h
, that causes it to behave more like congr
, including using default transparency when unfolding.
@@ -67,8 +67,9 @@ def StrictOrderedRing.mkOfPositiveCone (C : PositiveCone α) : StrictOrderedRing
simp,
mul_pos := fun x y xp yp => by
change C.pos (x * y - 0)
- convert C.mul_pos x y (by convert xp; simp) (by convert yp; simp)
- simp }
+ -- porting note: used to be convert, but it relied on unfolding definitions
+ rw [sub_zero]
+ exact C.mul_pos x y (by rwa [← sub_zero x]) (by rwa [← sub_zero y]) }
#align strict_ordered_ring.mk_of_positive_cone StrictOrderedRing.mkOfPositiveCone
/-- Construct a `LinearOrderedRing` by
This PR is the result of a slight variant on the following "algorithm"
_
and make all uppercase letters into lowercase_
and make all uppercase letters into lowercase(original_lean3_name, OriginalLean4Name)
#align
statement just before the next empty line#align
statement to have been inserted too early)@@ -34,6 +34,7 @@ structure PositiveCone (α : Type _) [Ring α] extends AddCommGroup.PositiveCone
/-- Forget that a positive cone in a ring respects the multiplicative structure. -/
add_decl_doc PositiveCone.toPositiveCone
+#align ring.positive_cone.to_positive_cone Ring.PositiveCone.toPositiveCone
/-- A total positive cone in a nontrivial ring induces a linear order. -/
structure TotalPositiveCone (α : Type _) [Ring α] extends PositiveCone α,
@@ -46,6 +47,7 @@ add_decl_doc TotalPositiveCone.toPositiveCone_1
/-- Forget that a `TotalPositiveCone` in a ring respects the multiplicative structure. -/
add_decl_doc TotalPositiveCone.toTotalPositiveCone
+#align ring.total_positive_cone.to_total_positive_cone Ring.TotalPositiveCone.toTotalPositiveCone
theorem PositiveCone.one_pos (C : PositiveCone α) : C.pos 1 :=
(C.pos_iff _).2 ⟨C.one_nonneg, fun h => one_ne_zero <| C.nonneg_antisymm C.one_nonneg h⟩
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) 2016 Jeremy Avigad. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Jeremy Avigad, Leonardo de Moura, Mario Carneiro
+
+! This file was ported from Lean 3 source module algebra.order.ring.cone
+! leanprover-community/mathlib commit 10b4e499f43088dd3bb7b5796184ad5216648ab1
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Mathlib.Algebra.Order.Ring.Defs