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Move contour integral stuff to another project
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vbeffara committed Mar 18, 2024
1 parent f4d0351 commit 51a25fc
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Showing 15 changed files with 2 additions and 1,984 deletions.
184 changes: 0 additions & 184 deletions HomotopyLifting.lean

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13 changes: 2 additions & 11 deletions RMT4.lean
Original file line number Diff line number Diff line change
@@ -1,21 +1,12 @@
import Mathlib.Analysis.Complex.OpenMapping
import RMT4.Basic
import RMT4.Bunch
import RMT4.cindex
import RMT4.Covering
import RMT4.Curvint
import RMT4.defs
import RMT4.deriv_inj
import RMT4.etape2
import RMT4.Glue
import RMT4.has_sqrt
import RMT4.hurwitz
import RMT4.Lift
import RMT4.LocallyConstant
import RMT4.montel
import RMT4.pintegral
import RMT4.Primitive
import RMT4.Subdivision
import RMT4.to_mathlib
import RMT4.uniform

Expand All @@ -35,8 +26,8 @@ lemma isCompact_𝓜 (hU : IsOpen U) : IsCompact (𝓜 U) := by
simpa only [𝓑_const] using isCompact_𝓑 hU (fun _ _ => isCompact_closedBall 0 1)

lemma IsClosed_𝓜 (hU : IsOpen U) : IsClosed (𝓜 U) := by
suffices h : IsClosed {f : 𝓒 U | MapsTo f U (closedBall 0 1)}
· exact (isClosed_𝓗 hU).inter h
suffices h : IsClosed {f : 𝓒 U | MapsTo f U (closedBall 0 1)} by
exact (isClosed_𝓗 hU).inter h
simp_rw [MapsTo, setOf_forall]
refine isClosed_biInter (λ z hz => isClosed_ball.preimage ?_)
exact ((UniformOnFun.uniformContinuous_eval_of_mem ℂ (compacts U)
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