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bump to nightly-2023-06-12-19
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leanprover-community-bot committed Jun 12, 2023
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6 changes: 6 additions & 0 deletions Mathbin/Analysis/Calculus/Darboux.lean
Original file line number Diff line number Diff line change
Expand Up @@ -80,6 +80,7 @@ theorem exists_hasDerivWithinAt_eq_of_lt_of_gt (hab : a ≤ b)
⟨c, cmem, neg_injective hc⟩
#align exists_has_deriv_within_at_eq_of_lt_of_gt exists_hasDerivWithinAt_eq_of_lt_of_gt

#print Set.OrdConnected.image_hasDerivWithinAt /-
/-- **Darboux's theorem**: the image of an `ord_connected` set under `f'` is an `ord_connected`
set, `has_deriv_within_at` version. -/
theorem Set.OrdConnected.image_hasDerivWithinAt {s : Set ℝ} (hs : OrdConnected s)
Expand All @@ -99,20 +100,25 @@ theorem Set.OrdConnected.image_hasDerivWithinAt {s : Set ℝ} (hs : OrdConnected
⟨c, cmem, hc⟩
exact ⟨c, this <| Ioo_subset_Icc_self cmem, hc⟩
#align set.ord_connected.image_has_deriv_within_at Set.OrdConnected.image_hasDerivWithinAt
-/

#print Set.OrdConnected.image_derivWithin /-
/-- **Darboux's theorem**: the image of an `ord_connected` set under `f'` is an `ord_connected`
set, `deriv_within` version. -/
theorem Set.OrdConnected.image_derivWithin {s : Set ℝ} (hs : OrdConnected s)
(hf : DifferentiableOn ℝ f s) : OrdConnected (derivWithin f s '' s) :=
hs.image_hasDerivWithinAt fun x hx => (hf x hx).HasDerivWithinAt
#align set.ord_connected.image_deriv_within Set.OrdConnected.image_derivWithin
-/

#print Set.OrdConnected.image_deriv /-
/-- **Darboux's theorem**: the image of an `ord_connected` set under `f'` is an `ord_connected`
set, `deriv` version. -/
theorem Set.OrdConnected.image_deriv {s : Set ℝ} (hs : OrdConnected s)
(hf : ∀ x ∈ s, DifferentiableAt ℝ f x) : OrdConnected (deriv f '' s) :=
hs.image_hasDerivWithinAt fun x hx => (hf x hx).HasDerivAt.HasDerivWithinAt
#align set.ord_connected.image_deriv Set.OrdConnected.image_deriv
-/

/-- **Darboux's theorem**: the image of a convex set under `f'` is a convex set,
`has_deriv_within_at` version. -/
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8 changes: 4 additions & 4 deletions lake-manifest.json
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Expand Up @@ -10,15 +10,15 @@
{"git":
{"url": "https://github.com/leanprover-community/lean3port.git",
"subDir?": null,
"rev": "bd859914b929536d98022af748b18980e9352dac",
"rev": "3e3ca24aa2e8d9d70ac7f22efbdecb344c466808",
"name": "lean3port",
"inputRev?": "bd859914b929536d98022af748b18980e9352dac"}},
"inputRev?": "3e3ca24aa2e8d9d70ac7f22efbdecb344c466808"}},
{"git":
{"url": "https://github.com/leanprover-community/mathlib4.git",
"subDir?": null,
"rev": "9d9686a1a7f20dc343cba1a83401e30cbfea9f97",
"rev": "021caebae2e1d4a57add2ed679feedc649eab0ca",
"name": "mathlib",
"inputRev?": "9d9686a1a7f20dc343cba1a83401e30cbfea9f97"}},
"inputRev?": "021caebae2e1d4a57add2ed679feedc649eab0ca"}},
{"git":
{"url": "https://github.com/gebner/quote4",
"subDir?": null,
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4 changes: 2 additions & 2 deletions lakefile.lean
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Expand Up @@ -4,7 +4,7 @@ open Lake DSL System
-- Usually the `tag` will be of the form `nightly-2021-11-22`.
-- If you would like to use an artifact from a PR build,
-- it will be of the form `pr-branchname-sha`.
def tag : String := "nightly-2023-06-12-17"
def tag : String := "nightly-2023-06-12-19"
def releaseRepo : String := "leanprover-community/mathport"
def oleanTarName : String := "mathlib3-binport.tar.gz"

Expand Down Expand Up @@ -38,7 +38,7 @@ target fetchOleans (_pkg : Package) : Unit := do
untarReleaseArtifact releaseRepo tag oleanTarName libDir
return .nil

require lean3port from git "https://github.com/leanprover-community/lean3port.git"@"bd859914b929536d98022af748b18980e9352dac"
require lean3port from git "https://github.com/leanprover-community/lean3port.git"@"3e3ca24aa2e8d9d70ac7f22efbdecb344c466808"

@[default_target]
lean_lib Mathbin where
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