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[Merged by Bors] - chore: forward-port leanprover-community/mathlib#18601 #3579

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1 change: 0 additions & 1 deletion Mathlib/Topology/FiberBundle/Basic.lean
Original file line number Diff line number Diff line change
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Authors: Sébastien Gouëzel, Floris van Doorn, Heather Macbeth

! This file was ported from Lean 3 source module topology.fiber_bundle.basic
! leanprover-community/mathlib commit 0187644979f2d3e10a06e916a869c994facd9a87

Check notice on line 7 in Mathlib/Topology/FiberBundle/Basic.lean

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See https://leanprover-community.github.io/mathlib-port-status/file/topology/fiber_bundle/basic?range=be2c24f56783935652cefffb4bfca7e4b25d167e..0187644979f2d3e10a06e916a869c994facd9a87
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
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(Trivialization.mem_source _).mpr <| mem_baseSet_trivializationAt F E x.proj
#align fiber_bundle.mem_trivialization_at_proj_source FiberBundle.mem_trivializationAt_proj_source

@[simp, mfld_simps]
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theorem trivializationAt_proj_fst {x : TotalSpace E} :
((trivializationAt F E x.proj) x).1 = x.proj :=
Trivialization.coe_fst' _ <| mem_baseSet_trivializationAt F E x.proj
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