topology.continuous_function.t0_sierpinski

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

dc6c365e

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

34ee86e6

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,9 +3,9 @@ Copyright (c) 2022 Ivan Sadofschi Costa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ivan Sadofschi Costa
 -/
-import Mathbin.Topology.Order
-import Mathbin.Topology.Sets.Opens
-import Mathbin.Topology.ContinuousFunction.Basic
+import Topology.Order
+import Topology.Sets.Opens
+import Topology.ContinuousFunction.Basic
 
 #align_import topology.continuous_function.t0_sierpinski from "leanprover-community/mathlib"@"34ee86e6a59d911a8e4f89b68793ee7577ae79c7"

34ee86e6

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Ivan Sadofschi Costa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ivan Sadofschi Costa
-
-! This file was ported from Lean 3 source module topology.continuous_function.t0_sierpinski
-! leanprover-community/mathlib commit 34ee86e6a59d911a8e4f89b68793ee7577ae79c7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Order
 import Mathbin.Topology.Sets.Opens
 import Mathbin.Topology.ContinuousFunction.Basic
 
+#align_import topology.continuous_function.t0_sierpinski from "leanprover-community/mathlib"@"34ee86e6a59d911a8e4f89b68793ee7577ae79c7"
+
 /-!
 # Any T0 space embeds in a product of copies of the Sierpinski space.

34ee86e6

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -31,6 +31,7 @@ noncomputable section
 
 namespace TopologicalSpace
 
+#print TopologicalSpace.eq_induced_by_maps_to_sierpinski /-
 theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
     t = ⨅ u : Opens X, sierpinskiSpace.induced (· ∈ u) :=
   by
@@ -43,6 +44,7 @@ theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
     simp only [Set.mem_iUnion, Set.mem_setOf_eq, isOpen_induced_iff]
     exact ⟨⟨u, h⟩, {True}, isOpen_singleton_true, by simp [Set.preimage]⟩
 #align topological_space.eq_induced_by_maps_to_sierpinski TopologicalSpace.eq_induced_by_maps_to_sierpinski
+-/
 
 variable (X : Type _) [TopologicalSpace X]
 
@@ -57,22 +59,28 @@ def productOfMemOpens : C(X, Opens X → Prop)
 #align topological_space.product_of_mem_opens TopologicalSpace.productOfMemOpens
 -/
 
+#print TopologicalSpace.productOfMemOpens_inducing /-
 theorem productOfMemOpens_inducing : Inducing (productOfMemOpens X) :=
   by
   convert inducing_iInf_to_pi fun (u : opens X) (x : X) => x ∈ u
   apply eq_induced_by_maps_to_sierpinski
 #align topological_space.product_of_mem_opens_inducing TopologicalSpace.productOfMemOpens_inducing
+-/
 
+#print TopologicalSpace.productOfMemOpens_injective /-
 theorem productOfMemOpens_injective [T0Space X] : Function.Injective (productOfMemOpens X) :=
   by
   intro x1 x2 h
   apply Inseparable.eq
   rw [← Inducing.inseparable_iff (product_of_mem_opens_inducing X), h]
 #align topological_space.product_of_mem_opens_injective TopologicalSpace.productOfMemOpens_injective
+-/
 
+#print TopologicalSpace.productOfMemOpens_embedding /-
 theorem productOfMemOpens_embedding [T0Space X] : Embedding (productOfMemOpens X) :=
   Embedding.mk (productOfMemOpens_inducing X) (productOfMemOpens_injective X)
 #align topological_space.product_of_mem_opens_embedding TopologicalSpace.productOfMemOpens_embedding
+-/
 
 end TopologicalSpace

34ee86e6

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -31,12 +31,6 @@ noncomputable section
 
 namespace TopologicalSpace
 
-/- warning: topological_space.eq_induced_by_maps_to_sierpinski -> TopologicalSpace.eq_induced_by_maps_to_sierpinski is a dubious translation:
-lean 3 declaration is
-  forall (X : Type.{u1}) [t : TopologicalSpace.{u1} X], Eq.{succ u1} (TopologicalSpace.{u1} X) t (iInf.{u1, succ u1} (TopologicalSpace.{u1} X) (ConditionallyCompleteLattice.toHasInf.{u1} (TopologicalSpace.{u1} X) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.{u1} X) (TopologicalSpace.completeLattice.{u1} X))) (TopologicalSpace.Opens.{u1} X t) (fun (u : TopologicalSpace.Opens.{u1} X t) => TopologicalSpace.induced.{u1, 0} X Prop (fun (_x : X) => Membership.Mem.{u1, u1} X (TopologicalSpace.Opens.{u1} X t) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} X t) X (TopologicalSpace.Opens.setLike.{u1} X t)) _x u) sierpinskiSpace))
-but is expected to have type
-  forall (X : Type.{u1}) [t : TopologicalSpace.{u1} X], Eq.{succ u1} (TopologicalSpace.{u1} X) t (iInf.{u1, succ u1} (TopologicalSpace.{u1} X) (ConditionallyCompleteLattice.toInfSet.{u1} (TopologicalSpace.{u1} X) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.{u1} X) (TopologicalSpace.instCompleteLatticeTopologicalSpace.{u1} X))) (TopologicalSpace.Opens.{u1} X t) (fun (u : TopologicalSpace.Opens.{u1} X t) => TopologicalSpace.induced.{u1, 0} X Prop (fun (_x : X) => Membership.mem.{u1, u1} X (TopologicalSpace.Opens.{u1} X t) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} X t) X (TopologicalSpace.Opens.instSetLikeOpens.{u1} X t)) _x u) sierpinskiSpace))
-Case conversion may be inaccurate. Consider using '#align topological_space.eq_induced_by_maps_to_sierpinski TopologicalSpace.eq_induced_by_maps_to_sierpinskiₓ'. -/
 theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
     t = ⨅ u : Opens X, sierpinskiSpace.induced (· ∈ u) :=
   by
@@ -63,24 +57,12 @@ def productOfMemOpens : C(X, Opens X → Prop)
 #align topological_space.product_of_mem_opens TopologicalSpace.productOfMemOpens
 -/
 
-/- warning: topological_space.product_of_mem_opens_inducing -> TopologicalSpace.productOfMemOpens_inducing is a dubious translation:
-lean 3 declaration is
-  forall (X : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} X], Inducing.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (coeFn.{succ u1, succ u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) (fun (_x : ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) => X -> (TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) (ContinuousMap.hasCoeToFun.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) (TopologicalSpace.productOfMemOpens.{u1} X _inst_1))
-but is expected to have type
-  forall (X : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} X], Inducing.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) X (fun (_x : X) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : X) => (TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (ContinuousMap.instContinuousMapClassContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)))) (TopologicalSpace.productOfMemOpens.{u1} X _inst_1))
-Case conversion may be inaccurate. Consider using '#align topological_space.product_of_mem_opens_inducing TopologicalSpace.productOfMemOpens_inducingₓ'. -/
 theorem productOfMemOpens_inducing : Inducing (productOfMemOpens X) :=
   by
   convert inducing_iInf_to_pi fun (u : opens X) (x : X) => x ∈ u
   apply eq_induced_by_maps_to_sierpinski
 #align topological_space.product_of_mem_opens_inducing TopologicalSpace.productOfMemOpens_inducing
 
-/- warning: topological_space.product_of_mem_opens_injective -> TopologicalSpace.productOfMemOpens_injective is a dubious translation:
-lean 3 declaration is
-  forall (X : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : T0Space.{u1} X _inst_1], Function.Injective.{succ u1, succ u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) (coeFn.{succ u1, succ u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) (fun (_x : ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) => X -> (TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) (ContinuousMap.hasCoeToFun.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) (TopologicalSpace.productOfMemOpens.{u1} X _inst_1))
-but is expected to have type
-  forall (X : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : T0Space.{u1} X _inst_1], Function.Injective.{succ u1, succ u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) X (fun (_x : X) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : X) => (TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (ContinuousMap.instContinuousMapClassContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)))) (TopologicalSpace.productOfMemOpens.{u1} X _inst_1))
-Case conversion may be inaccurate. Consider using '#align topological_space.product_of_mem_opens_injective TopologicalSpace.productOfMemOpens_injectiveₓ'. -/
 theorem productOfMemOpens_injective [T0Space X] : Function.Injective (productOfMemOpens X) :=
   by
   intro x1 x2 h
@@ -88,12 +70,6 @@ theorem productOfMemOpens_injective [T0Space X] : Function.Injective (productOfM
   rw [← Inducing.inseparable_iff (product_of_mem_opens_inducing X), h]
 #align topological_space.product_of_mem_opens_injective TopologicalSpace.productOfMemOpens_injective
 
-/- warning: topological_space.product_of_mem_opens_embedding -> TopologicalSpace.productOfMemOpens_embedding is a dubious translation:
-lean 3 declaration is
-  forall (X : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : T0Space.{u1} X _inst_1], Embedding.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (coeFn.{succ u1, succ u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) (fun (_x : ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) => X -> (TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) (ContinuousMap.hasCoeToFun.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) (TopologicalSpace.productOfMemOpens.{u1} X _inst_1))
-but is expected to have type
-  forall (X : Type.{u1}) [_inst_1 : TopologicalSpace.{u1} X] [_inst_2 : T0Space.{u1} X _inst_1], Embedding.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (ᾰ : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (FunLike.coe.{succ u1, succ u1, succ u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) X (fun (_x : X) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : X) => (TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _x) (ContinuousMapClass.toFunLike.{u1, u1, u1} (ContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace))) X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)) (ContinuousMap.instContinuousMapClassContinuousMap.{u1, u1} X ((TopologicalSpace.Opens.{u1} X _inst_1) -> Prop) _inst_1 (Pi.topologicalSpace.{u1, 0} (TopologicalSpace.Opens.{u1} X _inst_1) (fun (a._@.Mathlib.Topology.ContinuousFunction.T0Sierpinski._hyg.166 : TopologicalSpace.Opens.{u1} X _inst_1) => Prop) (fun (a : TopologicalSpace.Opens.{u1} X _inst_1) => sierpinskiSpace)))) (TopologicalSpace.productOfMemOpens.{u1} X _inst_1))
-Case conversion may be inaccurate. Consider using '#align topological_space.product_of_mem_opens_embedding TopologicalSpace.productOfMemOpens_embeddingₓ'. -/
 theorem productOfMemOpens_embedding [T0Space X] : Embedding (productOfMemOpens X) :=
   Embedding.mk (productOfMemOpens_inducing X) (productOfMemOpens_injective X)
 #align topological_space.product_of_mem_opens_embedding TopologicalSpace.productOfMemOpens_embedding

34ee86e6

bump to nightly-2023-05-14-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/e3fb84046afd187b710170887195d50bada934ee

d31da313

Diff

@@ -33,20 +33,20 @@ namespace TopologicalSpace
 
 /- warning: topological_space.eq_induced_by_maps_to_sierpinski -> TopologicalSpace.eq_induced_by_maps_to_sierpinski is a dubious translation:
 lean 3 declaration is
-  forall (X : Type.{u1}) [t : TopologicalSpace.{u1} X], Eq.{succ u1} (TopologicalSpace.{u1} X) t (infᵢ.{u1, succ u1} (TopologicalSpace.{u1} X) (ConditionallyCompleteLattice.toHasInf.{u1} (TopologicalSpace.{u1} X) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.{u1} X) (TopologicalSpace.completeLattice.{u1} X))) (TopologicalSpace.Opens.{u1} X t) (fun (u : TopologicalSpace.Opens.{u1} X t) => TopologicalSpace.induced.{u1, 0} X Prop (fun (_x : X) => Membership.Mem.{u1, u1} X (TopologicalSpace.Opens.{u1} X t) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} X t) X (TopologicalSpace.Opens.setLike.{u1} X t)) _x u) sierpinskiSpace))
+  forall (X : Type.{u1}) [t : TopologicalSpace.{u1} X], Eq.{succ u1} (TopologicalSpace.{u1} X) t (iInf.{u1, succ u1} (TopologicalSpace.{u1} X) (ConditionallyCompleteLattice.toHasInf.{u1} (TopologicalSpace.{u1} X) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.{u1} X) (TopologicalSpace.completeLattice.{u1} X))) (TopologicalSpace.Opens.{u1} X t) (fun (u : TopologicalSpace.Opens.{u1} X t) => TopologicalSpace.induced.{u1, 0} X Prop (fun (_x : X) => Membership.Mem.{u1, u1} X (TopologicalSpace.Opens.{u1} X t) (SetLike.hasMem.{u1, u1} (TopologicalSpace.Opens.{u1} X t) X (TopologicalSpace.Opens.setLike.{u1} X t)) _x u) sierpinskiSpace))
 but is expected to have type
-  forall (X : Type.{u1}) [t : TopologicalSpace.{u1} X], Eq.{succ u1} (TopologicalSpace.{u1} X) t (infᵢ.{u1, succ u1} (TopologicalSpace.{u1} X) (ConditionallyCompleteLattice.toInfSet.{u1} (TopologicalSpace.{u1} X) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.{u1} X) (TopologicalSpace.instCompleteLatticeTopologicalSpace.{u1} X))) (TopologicalSpace.Opens.{u1} X t) (fun (u : TopologicalSpace.Opens.{u1} X t) => TopologicalSpace.induced.{u1, 0} X Prop (fun (_x : X) => Membership.mem.{u1, u1} X (TopologicalSpace.Opens.{u1} X t) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} X t) X (TopologicalSpace.Opens.instSetLikeOpens.{u1} X t)) _x u) sierpinskiSpace))
+  forall (X : Type.{u1}) [t : TopologicalSpace.{u1} X], Eq.{succ u1} (TopologicalSpace.{u1} X) t (iInf.{u1, succ u1} (TopologicalSpace.{u1} X) (ConditionallyCompleteLattice.toInfSet.{u1} (TopologicalSpace.{u1} X) (CompleteLattice.toConditionallyCompleteLattice.{u1} (TopologicalSpace.{u1} X) (TopologicalSpace.instCompleteLatticeTopologicalSpace.{u1} X))) (TopologicalSpace.Opens.{u1} X t) (fun (u : TopologicalSpace.Opens.{u1} X t) => TopologicalSpace.induced.{u1, 0} X Prop (fun (_x : X) => Membership.mem.{u1, u1} X (TopologicalSpace.Opens.{u1} X t) (SetLike.instMembership.{u1, u1} (TopologicalSpace.Opens.{u1} X t) X (TopologicalSpace.Opens.instSetLikeOpens.{u1} X t)) _x u) sierpinskiSpace))
 Case conversion may be inaccurate. Consider using '#align topological_space.eq_induced_by_maps_to_sierpinski TopologicalSpace.eq_induced_by_maps_to_sierpinskiₓ'. -/
 theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
     t = ⨅ u : Opens X, sierpinskiSpace.induced (· ∈ u) :=
   by
   apply le_antisymm
-  · rw [le_infᵢ_iff]
+  · rw [le_iInf_iff]
     exact fun u => Continuous.le_induced (is_open_iff_continuous_mem.mp u.2)
   · intro u h
-    rw [← generateFrom_unionᵢ_isOpen]
+    rw [← generateFrom_iUnion_isOpen]
     apply is_open_generate_from_of_mem
-    simp only [Set.mem_unionᵢ, Set.mem_setOf_eq, isOpen_induced_iff]
+    simp only [Set.mem_iUnion, Set.mem_setOf_eq, isOpen_induced_iff]
     exact ⟨⟨u, h⟩, {True}, isOpen_singleton_true, by simp [Set.preimage]⟩
 #align topological_space.eq_induced_by_maps_to_sierpinski TopologicalSpace.eq_induced_by_maps_to_sierpinski
 
@@ -71,7 +71,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align topological_space.product_of_mem_opens_inducing TopologicalSpace.productOfMemOpens_inducingₓ'. -/
 theorem productOfMemOpens_inducing : Inducing (productOfMemOpens X) :=
   by
-  convert inducing_infᵢ_to_pi fun (u : opens X) (x : X) => x ∈ u
+  convert inducing_iInf_to_pi fun (u : opens X) (x : X) => x ∈ u
   apply eq_induced_by_maps_to_sierpinski
 #align topological_space.product_of_mem_opens_inducing TopologicalSpace.productOfMemOpens_inducing

34ee86e6

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

dc6c365e

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

@@ -25,7 +25,7 @@ noncomputable section
 
 namespace TopologicalSpace
 
-theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
+theorem eq_induced_by_maps_to_sierpinski (X : Type*) [t : TopologicalSpace X] :
     t = ⨅ u : Opens X, sierpinskiSpace.induced (· ∈ u) := by
   apply le_antisymm
   · rw [le_iInf_iff]
@@ -37,7 +37,7 @@ theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
     exact ⟨⟨u, h⟩, {True}, isOpen_singleton_true, by simp [Set.preimage]⟩
 #align topological_space.eq_induced_by_maps_to_sierpinski TopologicalSpace.eq_induced_by_maps_to_sierpinski
 
-variable (X : Type _) [TopologicalSpace X]
+variable (X : Type*) [TopologicalSpace X]
 
 /-- The continuous map from `X` to the product of copies of the Sierpinski space, (one copy for each
 open subset `u` of `X`). The `u` coordinate of `productOfMemOpens x` is given by `x ∈ u`.

dc6c365e

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

@@ -2,16 +2,13 @@
 Copyright (c) 2022 Ivan Sadofschi Costa. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Ivan Sadofschi Costa
-
-! This file was ported from Lean 3 source module topology.continuous_function.t0_sierpinski
-! leanprover-community/mathlib commit dc6c365e751e34d100e80fe6e314c3c3e0fd2988
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Order
 import Mathlib.Topology.Sets.Opens
 import Mathlib.Topology.ContinuousFunction.Basic
 
+#align_import topology.continuous_function.t0_sierpinski from "leanprover-community/mathlib"@"dc6c365e751e34d100e80fe6e314c3c3e0fd2988"
+
 /-!
 # Any T0 space embeds in a product of copies of the Sierpinski space.

dc6c365e

chore: Rename to sSup/iSup (#3938)

As discussed on Zulip

Renames

supₛ → sSup
infₛ → sInf
supᵢ → iSup
infᵢ → iInf
bsupₛ → bsSup
binfₛ → bsInf
bsupᵢ → biSup
binfᵢ → biInf
csupₛ → csSup
cinfₛ → csInf
csupᵢ → ciSup
cinfᵢ → ciInf
unionₛ → sUnion
interₛ → sInter
unionᵢ → iUnion
interᵢ → iInter
bunionₛ → bsUnion
binterₛ → bsInter
bunionᵢ → biUnion
binterᵢ → biInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

d1eb6264

Diff

@@ -31,12 +31,12 @@ namespace TopologicalSpace
 theorem eq_induced_by_maps_to_sierpinski (X : Type _) [t : TopologicalSpace X] :
     t = ⨅ u : Opens X, sierpinskiSpace.induced (· ∈ u) := by
   apply le_antisymm
-  · rw [le_infᵢ_iff]
+  · rw [le_iInf_iff]
     exact fun u => Continuous.le_induced (isOpen_iff_continuous_mem.mp u.2)
   · intro u h
-    rw [← generateFrom_unionᵢ_isOpen]
+    rw [← generateFrom_iUnion_isOpen]
     apply isOpen_generateFrom_of_mem
-    simp only [Set.mem_unionᵢ, Set.mem_setOf_eq, isOpen_induced_iff]
+    simp only [Set.mem_iUnion, Set.mem_setOf_eq, isOpen_induced_iff]
     exact ⟨⟨u, h⟩, {True}, isOpen_singleton_true, by simp [Set.preimage]⟩
 #align topological_space.eq_induced_by_maps_to_sierpinski TopologicalSpace.eq_induced_by_maps_to_sierpinski
 
@@ -51,7 +51,7 @@ def productOfMemOpens : C(X, Opens X → Prop) where
 #align topological_space.product_of_mem_opens TopologicalSpace.productOfMemOpens
 
 theorem productOfMemOpens_inducing : Inducing (productOfMemOpens X) := by
-  convert inducing_infᵢ_to_pi fun (u : Opens X) (x : X) => x ∈ u
+  convert inducing_iInf_to_pi fun (u : Opens X) (x : X) => x ∈ u
   apply eq_induced_by_maps_to_sierpinski
 #align topological_space.product_of_mem_opens_inducing TopologicalSpace.productOfMemOpens_inducing
 
@@ -66,4 +66,3 @@ theorem productOfMemOpens_embedding [T0Space X] : Embedding (productOfMemOpens X
 #align topological_space.product_of_mem_opens_embedding TopologicalSpace.productOfMemOpens_embedding
 
 end TopologicalSpace
-

dc6c365e

feat: Port Topology.ContinuousFunction.T0Sierpinski (#2240)

Comments update and reflow only.

15185f35

`topology.continuous_function.t0_sierpinski` ⟷ `Mathlib.Topology.ContinuousFunction.T0Sierpinski`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Renames

Dependencies 8 + 321

topology.continuous_function.t0_sierpinski ⟷ Mathlib.Topology.ContinuousFunction.T0Sierpinski

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Renames

Dependencies 8 + 321

`topology.continuous_function.t0_sierpinski` ⟷ `Mathlib.Topology.ContinuousFunction.T0Sierpinski`