topology.urysohns_bounded | Mathlib porting status

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

af683b11

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

38df578a

bump to nightly-2023-12-01-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

ad05a338

Diff

@@ -39,7 +39,7 @@ then there exists a continuous function `f : X → ℝ` such that
 theorem exists_bounded_zero_one_of_closed {X : Type _} [TopologicalSpace X] [NormalSpace X]
     {s t : Set X} (hs : IsClosed s) (ht : IsClosed t) (hd : Disjoint s t) :
     ∃ f : X →ᵇ ℝ, EqOn f 0 s ∧ EqOn f 1 t ∧ ∀ x, f x ∈ Icc (0 : ℝ) 1 :=
-  let ⟨f, hfs, hft, hf⟩ := exists_continuous_zero_one_of_closed hs ht hd
+  let ⟨f, hfs, hft, hf⟩ := exists_continuous_zero_one_of_isClosed hs ht hd
   ⟨⟨f, 1, fun x y => Real.dist_le_of_mem_Icc_01 (hf _) (hf _)⟩, hfs, hft, hf⟩
 #align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closed
 -/

38df578a

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 -/
-import Mathbin.Topology.UrysohnsLemma
-import Mathbin.Topology.ContinuousFunction.Bounded
+import Topology.UrysohnsLemma
+import Topology.ContinuousFunction.Bounded
 
 #align_import topology.urysohns_bounded from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"

38df578a

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module topology.urysohns_bounded
-! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.UrysohnsLemma
 import Mathbin.Topology.ContinuousFunction.Bounded
 
+#align_import topology.urysohns_bounded from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"
+
 /-!
 # Urysohn's lemma for bounded continuous functions

38df578a

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -31,6 +31,7 @@ open scoped BoundedContinuousFunction
 
 open Set Function
 
+#print exists_bounded_zero_one_of_closed /-
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 then there exists a continuous function `f : X → ℝ` such that
 
@@ -44,7 +45,9 @@ theorem exists_bounded_zero_one_of_closed {X : Type _} [TopologicalSpace X] [Nor
   let ⟨f, hfs, hft, hf⟩ := exists_continuous_zero_one_of_closed hs ht hd
   ⟨⟨f, 1, fun x y => Real.dist_le_of_mem_Icc_01 (hf _) (hf _)⟩, hfs, hft, hf⟩
 #align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closed
+-/
 
+#print exists_bounded_mem_Icc_of_closed_of_le /-
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 and `a ≤ b` are two real numbers, then there exists a continuous function `f : X → ℝ` such that
 
@@ -60,4 +63,5 @@ theorem exists_bounded_mem_Icc_of_closed_of_le {X : Type _} [TopologicalSpace X]
     simp [hft hx], fun x =>
     ⟨by dsimp <;> nlinarith [(hf01 x).1], by dsimp <;> nlinarith [(hf01 x).2]⟩⟩
 #align exists_bounded_mem_Icc_of_closed_of_le exists_bounded_mem_Icc_of_closed_of_le
+-/

38df578a

bump to nightly-2023-05-28-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

8d353152

Diff

@@ -27,7 +27,7 @@ Urysohn's lemma, normal topological space
 -/
 
 
-open BoundedContinuousFunction
+open scoped BoundedContinuousFunction
 
 open Set Function

38df578a

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -31,12 +31,6 @@ open BoundedContinuousFunction
 
 open Set Function
 
-/- warning: exists_bounded_zero_one_of_closed -> exists_bounded_zero_one_of_closed is a dubious translation:
-lean 3 declaration is
-  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.completeBooleanAlgebra.{u1} X)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} X) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} X) (Set.booleanAlgebra.{u1} X))) s t) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (OfNat.ofNat.{u1} (X -> Real) 0 (OfNat.mk.{u1} (X -> Real) 0 (Zero.zero.{u1} (X -> Real) (Pi.instZero.{u1, 0} X (fun (ᾰ : X) => Real) (fun (i : X) => Real.hasZero))))) s) (And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (OfNat.ofNat.{u1} (X -> Real) 1 (OfNat.mk.{u1} (X -> Real) 1 (One.one.{u1} (X -> Real) (Pi.instOne.{u1, 0} X (fun (ᾰ : X) => Real) (fun (i : X) => Real.hasOne))))) t) (forall (x : X), Membership.Mem.{0, 0} Real (Set.{0} Real) (Set.hasMem.{0} Real) (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f x) (Set.Icc.{0} Real Real.preorder (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))
-but is expected to have type
-  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} X) (Preorder.toLE.{u1} (Set.{u1} X) (PartialOrder.toPreorder.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) s t) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (OfNat.ofNat.{u1} (X -> Real) 0 (Zero.toOfNat0.{u1} (X -> Real) (Pi.instZero.{u1, 0} X (fun (a._@.Mathlib.Data.Set.Function._hyg.1349 : X) => Real) (fun (i : X) => Real.instZeroReal)))) s) (And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (OfNat.ofNat.{u1} (X -> Real) 1 (One.toOfNat1.{u1} (X -> Real) (Pi.instOne.{u1, 0} X (fun (a._@.Mathlib.Data.Set.Function._hyg.1349 : X) => Real) (fun (i : X) => Real.instOneReal)))) t) (forall (x : X), Membership.mem.{0, 0} ((fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) x) (Set.{0} Real) (Set.instMembershipSet.{0} Real) (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f x) (Set.Icc.{0} Real Real.instPreorderReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))))))
-Case conversion may be inaccurate. Consider using '#align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closedₓ'. -/
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 then there exists a continuous function `f : X → ℝ` such that
 
@@ -51,9 +45,6 @@ theorem exists_bounded_zero_one_of_closed {X : Type _} [TopologicalSpace X] [Nor
   ⟨⟨f, 1, fun x y => Real.dist_le_of_mem_Icc_01 (hf _) (hf _)⟩, hfs, hft, hf⟩
 #align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closed
 
-/- warning: exists_bounded_mem_Icc_of_closed_of_le -> exists_bounded_mem_Icc_of_closed_of_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align exists_bounded_mem_Icc_of_closed_of_le exists_bounded_mem_Icc_of_closed_of_leₓ'. -/
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 and `a ≤ b` are two real numbers, then there exists a continuous function `f : X → ℝ` such that

38df578a

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -52,10 +52,7 @@ theorem exists_bounded_zero_one_of_closed {X : Type _} [TopologicalSpace X] [Nor
 #align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closed
 
 /- warning: exists_bounded_mem_Icc_of_closed_of_le -> exists_bounded_mem_Icc_of_closed_of_le is a dubious translation:
-lean 3 declaration is
-  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.completeBooleanAlgebra.{u1} X)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} X) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} X) (Set.booleanAlgebra.{u1} X))) s t) -> (forall {a : Real} {b : Real}, (LE.le.{0} Real Real.hasLe a b) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (Function.const.{1, succ u1} Real X a) s) (And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (Function.const.{1, succ u1} Real X b) t) (forall (x : X), Membership.Mem.{0, 0} Real (Set.{0} Real) (Set.hasMem.{0} Real) (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f x) (Set.Icc.{0} Real Real.preorder a b))))))
-but is expected to have type
-  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} X) (Preorder.toLE.{u1} (Set.{u1} X) (PartialOrder.toPreorder.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) s t) -> (forall {a : Real} {b : Real}, (LE.le.{0} Real Real.instLEReal a b) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (Function.const.{1, succ u1} Real X a) s) (And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (Function.const.{1, succ u1} Real X b) t) (forall (x : X), Membership.mem.{0, 0} ((fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) x) (Set.{0} Real) (Set.instMembershipSet.{0} Real) (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f x) (Set.Icc.{0} Real Real.instPreorderReal a b))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align exists_bounded_mem_Icc_of_closed_of_le exists_bounded_mem_Icc_of_closed_of_leₓ'. -/
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 and `a ≤ b` are two real numbers, then there exists a continuous function `f : X → ℝ` such that

38df578a

bump to nightly-2023-05-24-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

2c55cf2c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
 
 ! This file was ported from Lean 3 source module topology.urysohns_bounded
-! leanprover-community/mathlib commit af683b11d1bd89d1e85a03bf1eb5519379aabdc9
+! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.ContinuousFunction.Bounded
 /-!
 # Urysohn's lemma for bounded continuous functions
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we reformulate Urysohn's lemma `exists_continuous_zero_one_of_closed` in terms of
 bounded continuous functions `X →ᵇ ℝ`. These lemmas live in a separate file because
 `topology.continuous_function.bounded` imports too many other files.

af683b11

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -28,6 +28,12 @@ open BoundedContinuousFunction
 
 open Set Function
 
+/- warning: exists_bounded_zero_one_of_closed -> exists_bounded_zero_one_of_closed is a dubious translation:
+lean 3 declaration is
+  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.completeBooleanAlgebra.{u1} X)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} X) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} X) (Set.booleanAlgebra.{u1} X))) s t) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (OfNat.ofNat.{u1} (X -> Real) 0 (OfNat.mk.{u1} (X -> Real) 0 (Zero.zero.{u1} (X -> Real) (Pi.instZero.{u1, 0} X (fun (ᾰ : X) => Real) (fun (i : X) => Real.hasZero))))) s) (And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (OfNat.ofNat.{u1} (X -> Real) 1 (OfNat.mk.{u1} (X -> Real) 1 (One.one.{u1} (X -> Real) (Pi.instOne.{u1, 0} X (fun (ᾰ : X) => Real) (fun (i : X) => Real.hasOne))))) t) (forall (x : X), Membership.Mem.{0, 0} Real (Set.{0} Real) (Set.hasMem.{0} Real) (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f x) (Set.Icc.{0} Real Real.preorder (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))))))))
+but is expected to have type
+  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} X) (Preorder.toLE.{u1} (Set.{u1} X) (PartialOrder.toPreorder.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) s t) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (OfNat.ofNat.{u1} (X -> Real) 0 (Zero.toOfNat0.{u1} (X -> Real) (Pi.instZero.{u1, 0} X (fun (a._@.Mathlib.Data.Set.Function._hyg.1349 : X) => Real) (fun (i : X) => Real.instZeroReal)))) s) (And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (OfNat.ofNat.{u1} (X -> Real) 1 (One.toOfNat1.{u1} (X -> Real) (Pi.instOne.{u1, 0} X (fun (a._@.Mathlib.Data.Set.Function._hyg.1349 : X) => Real) (fun (i : X) => Real.instOneReal)))) t) (forall (x : X), Membership.mem.{0, 0} ((fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) x) (Set.{0} Real) (Set.instMembershipSet.{0} Real) (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f x) (Set.Icc.{0} Real Real.instPreorderReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)))))))
+Case conversion may be inaccurate. Consider using '#align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closedₓ'. -/
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 then there exists a continuous function `f : X → ℝ` such that
 
@@ -42,6 +48,12 @@ theorem exists_bounded_zero_one_of_closed {X : Type _} [TopologicalSpace X] [Nor
   ⟨⟨f, 1, fun x y => Real.dist_le_of_mem_Icc_01 (hf _) (hf _)⟩, hfs, hft, hf⟩
 #align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closed
 
+/- warning: exists_bounded_mem_Icc_of_closed_of_le -> exists_bounded_mem_Icc_of_closed_of_le is a dubious translation:
+lean 3 declaration is
+  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.completeBooleanAlgebra.{u1} X)))))) (GeneralizedBooleanAlgebra.toOrderBot.{u1} (Set.{u1} X) (BooleanAlgebra.toGeneralizedBooleanAlgebra.{u1} (Set.{u1} X) (Set.booleanAlgebra.{u1} X))) s t) -> (forall {a : Real} {b : Real}, (LE.le.{0} Real Real.hasLe a b) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (Function.const.{1, succ u1} Real X a) s) (And (Set.EqOn.{u1, 0} X Real (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f) (Function.const.{1, succ u1} Real X b) t) (forall (x : X), Membership.Mem.{0, 0} Real (Set.{0} Real) (Set.hasMem.{0} Real) (coeFn.{succ u1, succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (_x : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => X -> Real) (BoundedContinuousFunction.hasCoeToFun.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) f x) (Set.Icc.{0} Real Real.preorder a b))))))
+but is expected to have type
+  forall {X : Type.{u1}} [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : NormalSpace.{u1} X _inst_1] {s : Set.{u1} X} {t : Set.{u1} X}, (IsClosed.{u1} X _inst_1 s) -> (IsClosed.{u1} X _inst_1 t) -> (Disjoint.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) (BoundedOrder.toOrderBot.{u1} (Set.{u1} X) (Preorder.toLE.{u1} (Set.{u1} X) (PartialOrder.toPreorder.{u1} (Set.{u1} X) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Set.{u1} X) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))))) (CompleteLattice.toBoundedOrder.{u1} (Set.{u1} X) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} X) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} X) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} X) (Set.instCompleteBooleanAlgebraSet.{u1} X)))))) s t) -> (forall {a : Real} {b : Real}, (LE.le.{0} Real Real.instLEReal a b) -> (Exists.{succ u1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) (fun (f : BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) => And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (Function.const.{1, succ u1} Real X a) s) (And (Set.EqOn.{u1, 0} X Real (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f) (Function.const.{1, succ u1} Real X b) t) (forall (x : X), Membership.mem.{0, 0} ((fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) x) (Set.{0} Real) (Set.instMembershipSet.{0} Real) (FunLike.coe.{succ u1, succ u1, 1} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X (fun (_x : X) => (fun (a._@.Mathlib.Topology.ContinuousFunction.Bounded._hyg.904 : X) => Real) _x) (ContinuousMapClass.toFunLike.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (BoundedContinuousMapClass.toContinuousMapClass.{u1, u1, 0} (BoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace) X Real _inst_1 Real.pseudoMetricSpace (BoundedContinuousFunction.instBoundedContinuousMapClassBoundedContinuousFunction.{u1, 0} X Real _inst_1 Real.pseudoMetricSpace))) f x) (Set.Icc.{0} Real Real.instPreorderReal a b))))))
+Case conversion may be inaccurate. Consider using '#align exists_bounded_mem_Icc_of_closed_of_le exists_bounded_mem_Icc_of_closed_of_leₓ'. -/
 /-- Urysohns lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
 and `a ≤ b` are two real numbers, then there exists a continuous function `f : X → ℝ` such that

af683b11

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

af683b11

doc: Mark named theorems (#8749)

a3708498

Diff

@@ -25,8 +25,8 @@ open BoundedContinuousFunction
 
 open Set Function
 
-/-- Urysohn's lemma: if `s` and `t` are two disjoint closed sets in a normal topological space `X`,
-then there exists a continuous function `f : X → ℝ` such that
+/-- **Urysohn's lemma**: if `s` and `t` are two disjoint closed sets in a normal topological
+space `X`, then there exists a continuous function `f : X → ℝ` such that
 
 * `f` equals zero on `s`;
 * `f` equals one on `t`;

af683b11

chore: rename some lemmas involving "of_closed" (#8492)

Three particular examples which caught my eye; not exhaustive.

d8ade144

Diff

@@ -11,7 +11,7 @@ import Mathlib.Topology.ContinuousFunction.Bounded
 /-!
 # Urysohn's lemma for bounded continuous functions
 
-In this file we reformulate Urysohn's lemma `exists_continuous_zero_one_of_closed` in terms of
+In this file we reformulate Urysohn's lemma `exists_continuous_zero_one_of_isClosed` in terms of
 bounded continuous functions `X →ᵇ ℝ`. These lemmas live in a separate file because
 `Topology.ContinuousFunction.Bounded` imports too many other files.
 
@@ -35,7 +35,7 @@ then there exists a continuous function `f : X → ℝ` such that
 theorem exists_bounded_zero_one_of_closed {X : Type*} [TopologicalSpace X] [NormalSpace X]
     {s t : Set X} (hs : IsClosed s) (ht : IsClosed t) (hd : Disjoint s t) :
     ∃ f : X →ᵇ ℝ, EqOn f 0 s ∧ EqOn f 1 t ∧ ∀ x, f x ∈ Icc (0 : ℝ) 1 :=
-  let ⟨f, hfs, hft, hf⟩ := exists_continuous_zero_one_of_closed hs ht hd
+  let ⟨f, hfs, hft, hf⟩ := exists_continuous_zero_one_of_isClosed hs ht hd
   ⟨⟨f, 1, fun _ _ => Real.dist_le_of_mem_Icc_01 (hf _) (hf _)⟩, hfs, hft, hf⟩
 #align exists_bounded_zero_one_of_closed exists_bounded_zero_one_of_closed

af683b11

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.

32de3f67

Diff

@@ -32,7 +32,7 @@ then there exists a continuous function `f : X → ℝ` such that
 * `f` equals one on `t`;
 * `0 ≤ f x ≤ 1` for all `x`.
 -/
-theorem exists_bounded_zero_one_of_closed {X : Type _} [TopologicalSpace X] [NormalSpace X]
+theorem exists_bounded_zero_one_of_closed {X : Type*} [TopologicalSpace X] [NormalSpace X]
     {s t : Set X} (hs : IsClosed s) (ht : IsClosed t) (hd : Disjoint s t) :
     ∃ f : X →ᵇ ℝ, EqOn f 0 s ∧ EqOn f 1 t ∧ ∀ x, f x ∈ Icc (0 : ℝ) 1 :=
   let ⟨f, hfs, hft, hf⟩ := exists_continuous_zero_one_of_closed hs ht hd
@@ -46,7 +46,7 @@ and `a ≤ b` are two real numbers, then there exists a continuous function `f :
 * `f` equals `b` on `t`;
 * `a ≤ f x ≤ b` for all `x`.
 -/
-theorem exists_bounded_mem_Icc_of_closed_of_le {X : Type _} [TopologicalSpace X] [NormalSpace X]
+theorem exists_bounded_mem_Icc_of_closed_of_le {X : Type*} [TopologicalSpace X] [NormalSpace X]
     {s t : Set X} (hs : IsClosed s) (ht : IsClosed t) (hd : Disjoint s t) {a b : ℝ} (hle : a ≤ b) :
     ∃ f : X →ᵇ ℝ, EqOn f (Function.const X a) s ∧ EqOn f (Function.const X b) t ∧
     ∀ x, f x ∈ Icc a b :=

af683b11

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2021 Yury Kudryashov. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Yury Kudryashov
-
-! This file was ported from Lean 3 source module topology.urysohns_bounded
-! leanprover-community/mathlib commit af683b11d1bd89d1e85a03bf1eb5519379aabdc9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.UrysohnsLemma
 import Mathlib.Topology.ContinuousFunction.Bounded
 
+#align_import topology.urysohns_bounded from "leanprover-community/mathlib"@"af683b11d1bd89d1e85a03bf1eb5519379aabdc9"
+
 /-!
 # Urysohn's lemma for bounded continuous functions

af683b11

feat: port Topology.UrysohnsBounded (#4190)

a68b0a8d

`topology.urysohns_bounded` ⟷ `Mathlib.Topology.UrysohnsBounded`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 687

topology.urysohns_bounded ⟷ Mathlib.Topology.UrysohnsBounded

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 687

`topology.urysohns_bounded` ⟷ `Mathlib.Topology.UrysohnsBounded`