# HG changeset patch # User nipkow # Date 1574962839 -3600 # Node ID 57bc95d2349106659892a04a617bfe6a445069e1 # Parent 11e1e273eaad5cee1c8451b5554756a0bd4d9ec3 reduced imports diff -r 11e1e273eaad -r 57bc95d23491 src/HOL/Analysis/Abstract_Euclidean_Space.thy --- a/src/HOL/Analysis/Abstract_Euclidean_Space.thy Thu Nov 28 15:51:54 2019 +0000 +++ b/src/HOL/Analysis/Abstract_Euclidean_Space.thy Thu Nov 28 18:40:39 2019 +0100 @@ -4,7 +4,7 @@ section\Euclidean space and n-spheres, as subtopologies of n-dimensional space\ theory Abstract_Euclidean_Space -imports Homotopy Locally T1_Spaces +imports Homotopy Locally begin subsection \Euclidean spaces as abstract topologies\ diff -r 11e1e273eaad -r 57bc95d23491 src/HOL/Analysis/Cartesian_Euclidean_Space.thy --- a/src/HOL/Analysis/Cartesian_Euclidean_Space.thy Thu Nov 28 15:51:54 2019 +0000 +++ b/src/HOL/Analysis/Cartesian_Euclidean_Space.thy Thu Nov 28 18:40:39 2019 +0100 @@ -5,7 +5,7 @@ section \Finite Cartesian Products of Euclidean Spaces\ theory Cartesian_Euclidean_Space -imports Cartesian_Space Derivative +imports Convex_Euclidean_Space Derivative begin lemma subspace_special_hyperplane: "subspace {x. x $ k = 0}" diff -r 11e1e273eaad -r 57bc95d23491 src/HOL/Analysis/Derivative.thy --- a/src/HOL/Analysis/Derivative.thy Thu Nov 28 15:51:54 2019 +0000 +++ b/src/HOL/Analysis/Derivative.thy Thu Nov 28 18:40:39 2019 +0100 @@ -7,10 +7,6 @@ theory Derivative imports - Convex_Euclidean_Space - Abstract_Limits - Operator_Norm - Uniform_Limit Bounded_Linear_Function Line_Segment begin