data.complex.cardinality ⟷
Mathlib.Data.Complex.Cardinality
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
@@ -3,8 +3,8 @@ Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-/
-import Mathbin.Data.Complex.Basic
-import Mathbin.Data.Real.Cardinality
+import Data.Complex.Basic
+import Data.Real.Cardinality
#align_import data.complex.cardinality from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-
-! This file was ported from Lean 3 source module data.complex.cardinality
-! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Data.Complex.Basic
import Mathbin.Data.Real.Cardinality
+#align_import data.complex.cardinality from "leanprover-community/mathlib"@"86d1873c01a723aba6788f0b9051ae3d23b4c1c3"
+
/-!
# The cardinality of the complex numbers
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -23,7 +23,7 @@ This file shows that the complex numbers have cardinality continuum, i.e. `#ℂ
open Cardinal Set
-open Cardinal
+open scoped Cardinal
#print mk_complex /-
/-- The cardinality of the complex numbers, as a type. -/
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -42,10 +42,8 @@ theorem mk_univ_complex : (#(Set.univ : Set ℂ)) = 𝔠 := by rw [mk_univ, mk_c
#print not_countable_complex /-
/-- The complex numbers are not countable. -/
-theorem not_countable_complex : ¬(Set.univ : Set ℂ).Countable :=
- by
- rw [← le_aleph_0_iff_set_countable, not_le, mk_univ_complex]
- apply cantor
+theorem not_countable_complex : ¬(Set.univ : Set ℂ).Countable := by
+ rw [← le_aleph_0_iff_set_countable, not_le, mk_univ_complex]; apply cantor
#align not_countable_complex not_countable_complex
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/52932b3a083d4142e78a15dc928084a22fea9ba0
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
! This file was ported from Lean 3 source module data.complex.cardinality
-! leanprover-community/mathlib commit 1c4e18434eeb5546b212e830b2b39de6a83c473c
+! leanprover-community/mathlib commit 86d1873c01a723aba6788f0b9051ae3d23b4c1c3
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.Data.Real.Cardinality
/-!
# The cardinality of the complex numbers
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
This file shows that the complex numbers have cardinality continuum, i.e. `#ℂ = 𝔠`.
-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/cd8fafa2fac98e1a67097e8a91ad9901cfde48af
@@ -22,21 +22,27 @@ open Cardinal Set
open Cardinal
+#print mk_complex /-
/-- The cardinality of the complex numbers, as a type. -/
@[simp]
theorem mk_complex : (#ℂ) = 𝔠 := by
rw [mk_congr Complex.equivRealProd, mk_prod, lift_id, mk_real, continuum_mul_self]
#align mk_complex mk_complex
+-/
+#print mk_univ_complex /-
/-- The cardinality of the complex numbers, as a set. -/
@[simp]
theorem mk_univ_complex : (#(Set.univ : Set ℂ)) = 𝔠 := by rw [mk_univ, mk_complex]
#align mk_univ_complex mk_univ_complex
+-/
+#print not_countable_complex /-
/-- The complex numbers are not countable. -/
theorem not_countable_complex : ¬(Set.univ : Set ℂ).Countable :=
by
rw [← le_aleph_0_iff_set_countable, not_le, mk_univ_complex]
apply cantor
#align not_countable_complex not_countable_complex
+-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
Homogenises porting notes via capitalisation and addition of whitespace.
It makes the following changes:
@@ -13,7 +13,7 @@ import Mathlib.Data.Real.Cardinality
This file shows that the complex numbers have cardinality continuum, i.e. `#ℂ = 𝔠`.
-/
--- porting note: the lemmas `mk_complex` and `mk_univ_complex` should be in the namespace `Cardinal`
+-- Porting note: the lemmas `mk_complex` and `mk_univ_complex` should be in the namespace `Cardinal`
-- like their real counterparts.
open Cardinal Set
@@ -27,7 +27,7 @@ theorem mk_complex : #ℂ = 𝔠 := by
#align mk_complex mk_complex
/-- The cardinality of the complex numbers, as a set. -/
--- @[simp] -- Porting note: simp can prove this
+-- @[simp] -- Porting note (#10618): simp can prove this
theorem mk_univ_complex : #(Set.univ : Set ℂ) = 𝔠 := by rw [mk_univ, mk_complex]
#align mk_univ_complex mk_univ_complex
@@ -2,15 +2,12 @@
Copyright (c) 2022 Violeta Hernández Palacios. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Violeta Hernández Palacios
-
-! This file was ported from Lean 3 source module data.complex.cardinality
-! leanprover-community/mathlib commit 1c4e18434eeb5546b212e830b2b39de6a83c473c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Data.Complex.Basic
import Mathlib.Data.Real.Cardinality
+#align_import data.complex.cardinality from "leanprover-community/mathlib"@"1c4e18434eeb5546b212e830b2b39de6a83c473c"
+
/-!
# The cardinality of the complex numbers
@@ -25,13 +25,13 @@ open Cardinal
/-- The cardinality of the complex numbers, as a type. -/
@[simp]
-theorem mk_complex : (#ℂ) = 𝔠 := by
+theorem mk_complex : #ℂ = 𝔠 := by
rw [mk_congr Complex.equivRealProd, mk_prod, lift_id, mk_real, continuum_mul_self]
#align mk_complex mk_complex
/-- The cardinality of the complex numbers, as a set. -/
-- @[simp] -- Porting note: simp can prove this
-theorem mk_univ_complex : (#(Set.univ : Set ℂ)) = 𝔠 := by rw [mk_univ, mk_complex]
+theorem mk_univ_complex : #(Set.univ : Set ℂ) = 𝔠 := by rw [mk_univ, mk_complex]
#align mk_univ_complex mk_univ_complex
/-- The complex numbers are not countable. -/
The unported dependencies are
algebra.order.moduleinit.corealgebra.order.monoid.cancel.defsalgebra.absalgebra.group_power.lemmasinit.data.list.basicinit.data.list.defaultalgebra.order.monoid.cancel.basictopology.subset_propertiesinit.logicThe following 1 dependencies have changed in mathlib3 since they were ported, which may complicate porting this file