ring_theory.witt_vector.verschiebung ⟷ Mathlib.RingTheory.WittVector.Verschiebung

This file has been ported!

Changes since the initial port

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.

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -84,7 +84,7 @@ theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
   rw [Finset.sum_range_succ', verschiebung_fun_coeff, if_pos rfl, zero_pow (pow_pos hp.1.Pos _),
     MulZeroClass.mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
   rintro i -
-  simp only [pow_succ, mul_assoc, verschiebung_fun_coeff, if_neg (Nat.succ_ne_zero i),
+  simp only [pow_succ', mul_assoc, verschiebung_fun_coeff, if_neg (Nat.succ_ne_zero i),
     Nat.succ_sub_succ, tsub_zero]
 #align witt_vector.ghost_component_verschiebung_fun WittVector.ghostComponent_verschiebungFun
 -/
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 -/
-import Mathbin.RingTheory.WittVector.Basic
-import Mathbin.RingTheory.WittVector.IsPoly
+import RingTheory.WittVector.Basic
+import RingTheory.WittVector.IsPoly
 
 #align_import ring_theory.witt_vector.verschiebung from "leanprover-community/mathlib"@"9240e8be927a0955b9a82c6c85ef499ee3a626b8"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module ring_theory.witt_vector.verschiebung
-! leanprover-community/mathlib commit 9240e8be927a0955b9a82c6c85ef499ee3a626b8
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.WittVector.Basic
 import Mathbin.RingTheory.WittVector.IsPoly
 
+#align_import ring_theory.witt_vector.verschiebung from "leanprover-community/mathlib"@"9240e8be927a0955b9a82c6c85ef499ee3a626b8"
+
 /-!
 ## The Verschiebung operator
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
 
 ! This file was ported from Lean 3 source module ring_theory.witt_vector.verschiebung
-! leanprover-community/mathlib commit 32b08ef840dd25ca2e47e035c5da03ce16d2dc3c
+! leanprover-community/mathlib commit 9240e8be927a0955b9a82c6c85ef499ee3a626b8
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.RingTheory.WittVector.IsPoly
 /-!
 ## The Verschiebung operator
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 ## References
 
 * [Hazewinkel, *Witt Vectors*][Haze09]
Diff
@@ -33,6 +33,7 @@ local notation "π•Ž" => WittVector p
 -- type as `\bbW`
 noncomputable section
 
+#print WittVector.verschiebungFun /-
 /-- `verschiebung_fun x` shifts the coefficients of `x` up by one,
 by inserting 0 as the 0th coefficient.
 `x.coeff i` then becomes `(verchiebung_fun x).coeff (i + 1)`.
@@ -42,29 +43,39 @@ by inserting 0 as the 0th coefficient.
 def verschiebungFun (x : π•Ž R) : π•Ž R :=
   mk' p fun n => if n = 0 then 0 else x.coeff (n - 1)
 #align witt_vector.verschiebung_fun WittVector.verschiebungFun
+-/
 
+#print WittVector.verschiebungFun_coeff /-
 theorem verschiebungFun_coeff (x : π•Ž R) (n : β„•) :
     (verschiebungFun x).coeff n = if n = 0 then 0 else x.coeff (n - 1) := by
   rw [verschiebung_fun, coeff_mk]
 #align witt_vector.verschiebung_fun_coeff WittVector.verschiebungFun_coeff
+-/
 
+#print WittVector.verschiebungFun_coeff_zero /-
 theorem verschiebungFun_coeff_zero (x : π•Ž R) : (verschiebungFun x).coeff 0 = 0 := by
   rw [verschiebung_fun_coeff, if_pos rfl]
 #align witt_vector.verschiebung_fun_coeff_zero WittVector.verschiebungFun_coeff_zero
+-/
 
+#print WittVector.verschiebungFun_coeff_succ /-
 @[simp]
 theorem verschiebungFun_coeff_succ (x : π•Ž R) (n : β„•) :
     (verschiebungFun x).coeff n.succ = x.coeff n :=
   rfl
 #align witt_vector.verschiebung_fun_coeff_succ WittVector.verschiebungFun_coeff_succ
+-/
 
+#print WittVector.ghostComponent_zero_verschiebungFun /-
 @[ghost_simps]
 theorem ghostComponent_zero_verschiebungFun (x : π•Ž R) : ghostComponent 0 (verschiebungFun x) = 0 :=
   by
   rw [ghost_component_apply, aeval_wittPolynomial, Finset.range_one, Finset.sum_singleton,
     verschiebung_fun_coeff_zero, pow_zero, pow_zero, pow_one, one_mul]
 #align witt_vector.ghost_component_zero_verschiebung_fun WittVector.ghostComponent_zero_verschiebungFun
+-/
 
+#print WittVector.ghostComponent_verschiebungFun /-
 @[ghost_simps]
 theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
     ghostComponent (n + 1) (verschiebungFun x) = p * ghostComponent n x :=
@@ -76,19 +87,25 @@ theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
   simp only [pow_succ, mul_assoc, verschiebung_fun_coeff, if_neg (Nat.succ_ne_zero i),
     Nat.succ_sub_succ, tsub_zero]
 #align witt_vector.ghost_component_verschiebung_fun WittVector.ghostComponent_verschiebungFun
+-/
 
+#print WittVector.verschiebungPoly /-
 /-- The 0th Verschiebung polynomial is 0. For `n > 0`, the `n`th Verschiebung polynomial is the
 variable `X (n-1)`.
 -/
 def verschiebungPoly (n : β„•) : MvPolynomial β„• β„€ :=
   if n = 0 then 0 else X (n - 1)
 #align witt_vector.verschiebung_poly WittVector.verschiebungPoly
+-/
 
+#print WittVector.verschiebungPoly_zero /-
 @[simp]
 theorem verschiebungPoly_zero : verschiebungPoly 0 = 0 :=
   rfl
 #align witt_vector.verschiebung_poly_zero WittVector.verschiebungPoly_zero
+-/
 
+#print WittVector.aeval_verschiebung_poly' /-
 theorem aeval_verschiebung_poly' (x : π•Ž R) (n : β„•) :
     aeval x.coeff (verschiebungPoly n) = (verschiebungFun x).coeff n :=
   by
@@ -98,9 +115,11 @@ theorem aeval_verschiebung_poly' (x : π•Ž R) (n : β„•) :
     rw [verschiebung_poly, verschiebung_fun_coeff_succ, if_neg n.succ_ne_zero, aeval_X,
       Nat.succ_eq_add_one, add_tsub_cancel_right]
 #align witt_vector.aeval_verschiebung_poly' WittVector.aeval_verschiebung_poly'
+-/
 
 variable (p)
 
+#print WittVector.verschiebungFun_isPoly /-
 /-- `witt_vector.verschiebung` has polynomial structure given by `witt_vector.verschiebung_poly`.
 -/
 @[is_poly]
@@ -109,9 +128,11 @@ theorem verschiebungFun_isPoly : IsPoly p fun R _Rcr => @verschiebungFun p R _Rc
   use verschiebung_poly
   simp only [aeval_verschiebung_poly', eq_self_iff_true, forall₃_true_iff]
 #align witt_vector.verschiebung_fun_is_poly WittVector.verschiebungFun_isPoly
+-/
 
 variable {p}
 
+#print WittVector.verschiebung /-
 /--
 `verschiebung x` shifts the coefficients of `x` up by one, by inserting 0 as the 0th coefficient.
 `x.coeff i` then becomes `(verchiebung x).coeff (i + 1)`.
@@ -126,50 +147,68 @@ noncomputable def verschiebung : π•Ž R β†’+ π•Ž R
       simp only [if_true, eq_self_iff_true, zero_coeff, if_t_t]
   map_add' := by ghost_calc _ _; rintro ⟨⟩ <;> ghost_simp
 #align witt_vector.verschiebung WittVector.verschiebung
+-/
 
+#print WittVector.verschiebung_isPoly /-
 /-- `witt_vector.verschiebung` is a polynomial function. -/
 @[is_poly]
 theorem verschiebung_isPoly : IsPoly p fun R _Rcr => @verschiebung p R hp _Rcr :=
   verschiebungFun_isPoly p
 #align witt_vector.verschiebung_is_poly WittVector.verschiebung_isPoly
+-/
 
+#print WittVector.map_verschiebung /-
 /-- verschiebung is a natural transformation -/
 @[simp]
 theorem map_verschiebung (f : R β†’+* S) (x : π•Ž R) :
     map f (verschiebung x) = verschiebung (map f x) := by ext ⟨-, -⟩; exact f.map_zero; rfl
 #align witt_vector.map_verschiebung WittVector.map_verschiebung
+-/
 
+#print WittVector.ghostComponent_zero_verschiebung /-
 @[ghost_simps]
 theorem ghostComponent_zero_verschiebung (x : π•Ž R) : ghostComponent 0 (verschiebung x) = 0 :=
   ghostComponent_zero_verschiebungFun _
 #align witt_vector.ghost_component_zero_verschiebung WittVector.ghostComponent_zero_verschiebung
+-/
 
+#print WittVector.ghostComponent_verschiebung /-
 @[ghost_simps]
 theorem ghostComponent_verschiebung (x : π•Ž R) (n : β„•) :
     ghostComponent (n + 1) (verschiebung x) = p * ghostComponent n x :=
   ghostComponent_verschiebungFun _ _
 #align witt_vector.ghost_component_verschiebung WittVector.ghostComponent_verschiebung
+-/
 
+#print WittVector.verschiebung_coeff_zero /-
 @[simp]
 theorem verschiebung_coeff_zero (x : π•Ž R) : (verschiebung x).coeff 0 = 0 :=
   rfl
 #align witt_vector.verschiebung_coeff_zero WittVector.verschiebung_coeff_zero
+-/
 
+#print WittVector.verschiebung_coeff_add_one /-
 -- simp_nf complains if this is simp
 theorem verschiebung_coeff_add_one (x : π•Ž R) (n : β„•) : (verschiebung x).coeff (n + 1) = x.coeff n :=
   rfl
 #align witt_vector.verschiebung_coeff_add_one WittVector.verschiebung_coeff_add_one
+-/
 
+#print WittVector.verschiebung_coeff_succ /-
 @[simp]
 theorem verschiebung_coeff_succ (x : π•Ž R) (n : β„•) : (verschiebung x).coeff n.succ = x.coeff n :=
   rfl
 #align witt_vector.verschiebung_coeff_succ WittVector.verschiebung_coeff_succ
+-/
 
+#print WittVector.aeval_verschiebungPoly /-
 theorem aeval_verschiebungPoly (x : π•Ž R) (n : β„•) :
     aeval x.coeff (verschiebungPoly n) = (verschiebung x).coeff n :=
   aeval_verschiebung_poly' x n
 #align witt_vector.aeval_verschiebung_poly WittVector.aeval_verschiebungPoly
+-/
 
+#print WittVector.bind₁_verschiebungPoly_wittPolynomial /-
 @[simp]
 theorem bind₁_verschiebungPoly_wittPolynomial (n : β„•) :
     bind₁ verschiebungPoly (wittPolynomial p β„€ n) =
@@ -190,6 +229,7 @@ theorem bind₁_verschiebungPoly_wittPolynomial (n : β„•) :
       exact evalβ‚‚_hom_congr (RingHom.ext_int _ _) rfl rfl
     Β· rw [ghost_component_verschiebung]; rfl
 #align witt_vector.bind₁_verschiebung_poly_witt_polynomial WittVector.bind₁_verschiebungPoly_wittPolynomial
+-/
 
 end WittVector
 
Diff
@@ -28,7 +28,6 @@ open MvPolynomial
 
 variable {p : β„•} {R S : Type _} [hp : Fact p.Prime] [CommRing R] [CommRing S]
 
--- mathport name: exprπ•Ž
 local notation "π•Ž" => WittVector p
 
 -- type as `\bbW`
@@ -59,8 +58,6 @@ theorem verschiebungFun_coeff_succ (x : π•Ž R) (n : β„•) :
   rfl
 #align witt_vector.verschiebung_fun_coeff_succ WittVector.verschiebungFun_coeff_succ
 
-include hp
-
 @[ghost_simps]
 theorem ghostComponent_zero_verschiebungFun (x : π•Ž R) : ghostComponent 0 (verschiebungFun x) = 0 :=
   by
@@ -80,8 +77,6 @@ theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
     Nat.succ_sub_succ, tsub_zero]
 #align witt_vector.ghost_component_verschiebung_fun WittVector.ghostComponent_verschiebungFun
 
-omit hp
-
 /-- The 0th Verschiebung polynomial is 0. For `n > 0`, the `n`th Verschiebung polynomial is the
 variable `X (n-1)`.
 -/
@@ -117,8 +112,6 @@ theorem verschiebungFun_isPoly : IsPoly p fun R _Rcr => @verschiebungFun p R _Rc
 
 variable {p}
 
-include hp
-
 /--
 `verschiebung x` shifts the coefficients of `x` up by one, by inserting 0 as the 0th coefficient.
 `x.coeff i` then becomes `(verchiebung x).coeff (i + 1)`.
@@ -134,16 +127,12 @@ noncomputable def verschiebung : π•Ž R β†’+ π•Ž R
   map_add' := by ghost_calc _ _; rintro ⟨⟩ <;> ghost_simp
 #align witt_vector.verschiebung WittVector.verschiebung
 
-omit hp
-
 /-- `witt_vector.verschiebung` is a polynomial function. -/
 @[is_poly]
 theorem verschiebung_isPoly : IsPoly p fun R _Rcr => @verschiebung p R hp _Rcr :=
   verschiebungFun_isPoly p
 #align witt_vector.verschiebung_is_poly WittVector.verschiebung_isPoly
 
-include hp
-
 /-- verschiebung is a natural transformation -/
 @[simp]
 theorem map_verschiebung (f : R β†’+* S) (x : π•Ž R) :
Diff
@@ -195,7 +195,6 @@ theorem bind₁_verschiebungPoly_wittPolynomial (n : β„•) :
     calc
       _ = ghost_component (n + 1) (verschiebung <| mk p x) := _
       _ = _ := _
-      
     Β· apply evalβ‚‚_hom_congr (RingHom.ext_int _ _) _ rfl
       simp only [← aeval_verschiebung_poly, coeff_mk]
       funext k
Diff
@@ -109,11 +109,11 @@ variable (p)
 /-- `witt_vector.verschiebung` has polynomial structure given by `witt_vector.verschiebung_poly`.
 -/
 @[is_poly]
-theorem verschiebungFunIsPoly : IsPoly p fun R _Rcr => @verschiebungFun p R _Rcr :=
+theorem verschiebungFun_isPoly : IsPoly p fun R _Rcr => @verschiebungFun p R _Rcr :=
   by
   use verschiebung_poly
   simp only [aeval_verschiebung_poly', eq_self_iff_true, forall₃_true_iff]
-#align witt_vector.verschiebung_fun_is_poly WittVector.verschiebungFunIsPoly
+#align witt_vector.verschiebung_fun_is_poly WittVector.verschiebungFun_isPoly
 
 variable {p}
 
@@ -138,9 +138,9 @@ omit hp
 
 /-- `witt_vector.verschiebung` is a polynomial function. -/
 @[is_poly]
-theorem verschiebungIsPoly : IsPoly p fun R _Rcr => @verschiebung p R hp _Rcr :=
-  verschiebungFunIsPoly p
-#align witt_vector.verschiebung_is_poly WittVector.verschiebungIsPoly
+theorem verschiebung_isPoly : IsPoly p fun R _Rcr => @verschiebung p R hp _Rcr :=
+  verschiebungFun_isPoly p
+#align witt_vector.verschiebung_is_poly WittVector.verschiebung_isPoly
 
 include hp
 
Diff
@@ -41,7 +41,7 @@ by inserting 0 as the 0th coefficient.
 `verschiebung_fun` is the underlying function of the additive monoid hom `witt_vector.verschiebung`.
 -/
 def verschiebungFun (x : π•Ž R) : π•Ž R :=
-  mk p fun n => if n = 0 then 0 else x.coeff (n - 1)
+  mk' p fun n => if n = 0 then 0 else x.coeff (n - 1)
 #align witt_vector.verschiebung_fun WittVector.verschiebungFun
 
 theorem verschiebungFun_coeff (x : π•Ž R) (n : β„•) :
Diff
@@ -131,9 +131,7 @@ noncomputable def verschiebung : π•Ž R β†’+ π•Ž R
   map_zero' := by
     ext ⟨⟩ <;> rw [verschiebung_fun_coeff] <;>
       simp only [if_true, eq_self_iff_true, zero_coeff, if_t_t]
-  map_add' := by
-    ghost_calc _ _
-    rintro ⟨⟩ <;> ghost_simp
+  map_add' := by ghost_calc _ _; rintro ⟨⟩ <;> ghost_simp
 #align witt_vector.verschiebung WittVector.verschiebung
 
 omit hp
@@ -149,11 +147,7 @@ include hp
 /-- verschiebung is a natural transformation -/
 @[simp]
 theorem map_verschiebung (f : R β†’+* S) (x : π•Ž R) :
-    map f (verschiebung x) = verschiebung (map f x) :=
-  by
-  ext ⟨-, -⟩
-  exact f.map_zero
-  rfl
+    map f (verschiebung x) = verschiebung (map f x) := by ext ⟨-, -⟩; exact f.map_zero; rfl
 #align witt_vector.map_verschiebung WittVector.map_verschiebung
 
 @[ghost_simps]
@@ -206,8 +200,7 @@ theorem bind₁_verschiebungPoly_wittPolynomial (n : β„•) :
       simp only [← aeval_verschiebung_poly, coeff_mk]
       funext k
       exact evalβ‚‚_hom_congr (RingHom.ext_int _ _) rfl rfl
-    Β· rw [ghost_component_verschiebung]
-      rfl
+    Β· rw [ghost_component_verschiebung]; rfl
 #align witt_vector.bind₁_verschiebung_poly_witt_polynomial WittVector.bind₁_verschiebungPoly_wittPolynomial
 
 end WittVector
Diff
@@ -86,7 +86,7 @@ omit hp
 variable `X (n-1)`.
 -/
 def verschiebungPoly (n : β„•) : MvPolynomial β„• β„€ :=
-  if n = 0 then 0 else x (n - 1)
+  if n = 0 then 0 else X (n - 1)
 #align witt_vector.verschiebung_poly WittVector.verschiebungPoly
 
 @[simp]
Diff
@@ -74,7 +74,7 @@ theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
   by
   simp only [ghost_component_apply, aeval_wittPolynomial]
   rw [Finset.sum_range_succ', verschiebung_fun_coeff, if_pos rfl, zero_pow (pow_pos hp.1.Pos _),
-    mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
+    MulZeroClass.mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
   rintro i -
   simp only [pow_succ, mul_assoc, verschiebung_fun_coeff, if_neg (Nat.succ_ne_zero i),
     Nat.succ_sub_succ, tsub_zero]

Changes in mathlib4

mathlib3
mathlib4
change the order of operation in zsmulRec and nsmulRec (#11451)

We change the following field in the definition of an additive commutative monoid:

 nsmul_succ : βˆ€ (n : β„•) (x : G),
-  AddMonoid.nsmul (n + 1) x = x + AddMonoid.nsmul n x
+  AddMonoid.nsmul (n + 1) x = AddMonoid.nsmul n x + x

where the latter is more natural

We adjust the definitions of ^ in monoids, groups, etc. Originally there was a warning comment about why this natural order was preferred

use x * npowRec n x and not npowRec n x * x in the definition to make sure that definitional unfolding of npowRec is blocked, to avoid deep recursion issues.

but it seems to no longer apply.

Remarks on the PR :

  • pow_succ and pow_succ' have switched their meanings.
  • Most of the time, the proofs were adjusted by priming/unpriming one lemma, or exchanging left and right; a few proofs were more complicated to adjust.
  • In particular, [Mathlib/NumberTheory/RamificationInertia.lean] used Ideal.IsPrime.mul_mem_pow which is defined in [Mathlib/RingTheory/DedekindDomain/Ideal.lean]. Changing the order of operation forced me to add the symmetric lemma Ideal.IsPrime.mem_pow_mul.
  • the docstring for Cauchy condensation test in [Mathlib/Analysis/PSeries.lean] was mathematically incorrect, I added the mention that the function is antitone.
Diff
@@ -68,7 +68,7 @@ theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
   rw [Finset.sum_range_succ', verschiebungFun_coeff, if_pos rfl,
     zero_pow (pow_ne_zero _ hp.1.ne_zero), mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
   rintro i -
-  simp only [pow_succ, mul_assoc, verschiebungFun_coeff, if_neg (Nat.succ_ne_zero i),
+  simp only [pow_succ', mul_assoc, verschiebungFun_coeff, if_neg (Nat.succ_ne_zero i),
     Nat.succ_sub_succ, tsub_zero]
 #align witt_vector.ghost_component_verschiebung_fun WittVector.ghostComponent_verschiebungFun
 
chore: replace Ξ» by fun (#11301)

Per the style guidelines, Ξ» is disallowed in mathlib. This is close to exhaustive; I left some tactic code alone when it seemed to me that tactic could be upstreamed soon.

Notes

  • In lines I was modifying anyway, I also converted => to ↦.
  • Also contains some mild in-passing indentation fixes in Mathlib/Order/SupClosed.
  • Some doc comments still contained Lean 3 syntax Ξ» x, , which I also replaced.
Diff
@@ -106,7 +106,7 @@ instance verschiebungFun_isPoly : IsPoly p fun R _Rcr => @verschiebungFun p R _R
 -- Porting note: we add this example as a verification that Lean 4's instance resolution
 -- can handle what in Lean 3 we needed the `@[is_poly]` attribute to help with.
 example (p : β„•) (f : ⦃R : Type _⦄ β†’ [CommRing R] β†’ WittVector p R β†’ WittVector p R) [IsPoly p f] :
-    IsPoly p (λ (R : Type*) (I : CommRing R) => verschiebungFun ∘ (@f R I)) :=
+    IsPoly p (fun (R : Type*) (I : CommRing R) ↦ verschiebungFun ∘ (@f R I)) :=
   inferInstance
 
 variable {p}
feat: The support of f ^ n (#9617)

This involves moving lemmas from Algebra.GroupPower.Ring to Algebra.GroupWithZero.Basic and changing some 0 < n assumptions to n β‰  0.

From LeanAPAP

Diff
@@ -65,8 +65,8 @@ theorem ghostComponent_zero_verschiebungFun (x : π•Ž R) :
 theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
     ghostComponent (n + 1) (verschiebungFun x) = p * ghostComponent n x := by
   simp only [ghostComponent_apply, aeval_wittPolynomial]
-  rw [Finset.sum_range_succ', verschiebungFun_coeff, if_pos rfl, zero_pow (pow_pos hp.1.pos _),
-    mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
+  rw [Finset.sum_range_succ', verschiebungFun_coeff, if_pos rfl,
+    zero_pow (pow_ne_zero _ hp.1.ne_zero), mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
   rintro i -
   simp only [pow_succ, mul_assoc, verschiebungFun_coeff, if_neg (Nat.succ_ne_zero i),
     Nat.succ_sub_succ, tsub_zero]
chore: only four spaces for subsequent lines (#7286)

Co-authored-by: Moritz Firsching <firsching@google.com>

Diff
@@ -56,7 +56,7 @@ theorem verschiebungFun_coeff_succ (x : π•Ž R) (n : β„•) :
 
 @[ghost_simps]
 theorem ghostComponent_zero_verschiebungFun (x : π•Ž R) :
-  ghostComponent 0 (verschiebungFun x) = 0 := by
+    ghostComponent 0 (verschiebungFun x) = 0 := by
   rw [ghostComponent_apply, aeval_wittPolynomial, Finset.range_one, Finset.sum_singleton,
     verschiebungFun_coeff_zero, pow_zero, pow_zero, pow_one, one_mul]
 #align witt_vector.ghost_component_zero_verschiebung_fun WittVector.ghostComponent_zero_verschiebungFun
chore: drop MulZeroClass. in mul_zero/zero_mul (#6682)

Search&replace MulZeroClass.mul_zero -> mul_zero, MulZeroClass.zero_mul -> zero_mul.

These were introduced by Mathport, as the full name of mul_zero is actually MulZeroClass.mul_zero (it's exported with the short name).

Diff
@@ -66,7 +66,7 @@ theorem ghostComponent_verschiebungFun (x : π•Ž R) (n : β„•) :
     ghostComponent (n + 1) (verschiebungFun x) = p * ghostComponent n x := by
   simp only [ghostComponent_apply, aeval_wittPolynomial]
   rw [Finset.sum_range_succ', verschiebungFun_coeff, if_pos rfl, zero_pow (pow_pos hp.1.pos _),
-    MulZeroClass.mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
+    mul_zero, add_zero, Finset.mul_sum, Finset.sum_congr rfl]
   rintro i -
   simp only [pow_succ, mul_assoc, verschiebungFun_coeff, if_neg (Nat.succ_ne_zero i),
     Nat.succ_sub_succ, tsub_zero]
chore: banish Type _ and Sort _ (#6499)

We remove all possible occurences of Type _ and Sort _ in favor of Type* and Sort*.

This has nice performance benefits.

Diff
@@ -23,7 +23,7 @@ namespace WittVector
 
 open MvPolynomial
 
-variable {p : β„•} {R S : Type _} [hp : Fact p.Prime] [CommRing R] [CommRing S]
+variable {p : β„•} {R S : Type*} [hp : Fact p.Prime] [CommRing R] [CommRing S]
 
 local notation "π•Ž" => WittVector p -- type as `\bbW`
 
@@ -106,7 +106,7 @@ instance verschiebungFun_isPoly : IsPoly p fun R _Rcr => @verschiebungFun p R _R
 -- Porting note: we add this example as a verification that Lean 4's instance resolution
 -- can handle what in Lean 3 we needed the `@[is_poly]` attribute to help with.
 example (p : β„•) (f : ⦃R : Type _⦄ β†’ [CommRing R] β†’ WittVector p R β†’ WittVector p R) [IsPoly p f] :
-    IsPoly p (λ (R : Type _) (I : CommRing R) => verschiebungFun ∘ (@f R I)) :=
+    IsPoly p (λ (R : Type*) (I : CommRing R) => verschiebungFun ∘ (@f R I)) :=
   inferInstance
 
 variable {p}
chore: script to replace headers with #align_import statements (#5979)

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Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2020 Johan Commelin. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Johan Commelin
-
-! This file was ported from Lean 3 source module ring_theory.witt_vector.verschiebung
-! leanprover-community/mathlib commit 32b08ef840dd25ca2e47e035c5da03ce16d2dc3c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.WittVector.Basic
 import Mathlib.RingTheory.WittVector.IsPoly
 
+#align_import ring_theory.witt_vector.verschiebung from "leanprover-community/mathlib"@"32b08ef840dd25ca2e47e035c5da03ce16d2dc3c"
+
 /-!
 ## The Verschiebung operator
 
refactor: move all register_simp_attrs to 1 file (#5681)

There are slight differences between mathlib3 and mathlib4 (different set of attributes, different lemmas are in core/std), so I redid the same refactor instead of forward-porting changes.

mathlib3 PR: leanprover-community/mathlib#19223

Diff
@@ -114,9 +114,6 @@ example (p : β„•) (f : ⦃R : Type _⦄ β†’ [CommRing R] β†’ WittVector p R β†’
 
 variable {p}
 
--- Porting note: until we change the default induction principle on `Nat`:
-attribute [ghost_simps] Nat.zero_eq
-
 /--
 `verschiebung x` shifts the coefficients of `x` up by one, by inserting 0 as the 0th coefficient.
 `x.coeff i` then becomes `(verchiebung x).coeff (i + 1)`.
chore: fix grammar in docs (#5668)
Diff
@@ -121,7 +121,7 @@ attribute [ghost_simps] Nat.zero_eq
 `verschiebung x` shifts the coefficients of `x` up by one, by inserting 0 as the 0th coefficient.
 `x.coeff i` then becomes `(verchiebung x).coeff (i + 1)`.
 
-This is a additive monoid hom with underlying function `verschiebung_fun`.
+This is an additive monoid hom with underlying function `verschiebung_fun`.
 -/
 noncomputable def verschiebung : π•Ž R β†’+ π•Ž R where
   toFun := verschiebungFun
feat: port RingTheory.WittVector.Verschiebung (#4897)

Co-authored-by: Moritz Firsching <firsching@google.com> Co-authored-by: Kyle Miller <kmill31415@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net>

Dependencies 10 + 675

676 files ported (98.5%)
278833 lines ported (98.8%)
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The unported dependencies are