author | haftmann |
Thu, 19 Jun 2025 17:15:40 +0200 | |
changeset 82734 | 89347c0cc6a3 |
parent 79857 | 819c28a7280f |
permissions | -rw-r--r-- |
63627 | 1 |
theory Analysis |
69676 | 2 |
imports |
3 |
(* Linear Algebra *) |
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4 |
Convex |
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5 |
Determinants |
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6 |
(* Topology *) |
|
77939
98879407d33c
Two new theories containing material ported from HOL Light about abstract topology
paulson <lp15@cam.ac.uk>
parents:
77102
diff
changeset
|
7 |
FSigma |
98879407d33c
Two new theories containing material ported from HOL Light about abstract topology
paulson <lp15@cam.ac.uk>
parents:
77102
diff
changeset
|
8 |
Sum_Topology |
77941
c35f06b0931e
new material ported from HOL Light's metric.ml
paulson <lp15@cam.ac.uk>
parents:
77939
diff
changeset
|
9 |
Abstract_Topological_Spaces |
78093
cec875dcc59e
Finally, the abstract metric space development
paulson <lp15@cam.ac.uk>
parents:
77941
diff
changeset
|
10 |
Abstract_Metric_Spaces |
78127
24b70433c2e8
New HOL Light material on metric spaces and topological spaces
paulson <lp15@cam.ac.uk>
parents:
78093
diff
changeset
|
11 |
Urysohn |
69676 | 12 |
Connected |
69874 | 13 |
Abstract_Limits |
77102
780161d4b55c
Moved in some material from the AFP entry Winding_number_eval
paulson <lp15@cam.ac.uk>
parents:
74475
diff
changeset
|
14 |
Isolated |
79857
819c28a7280f
New material by Wenda Li and Manuel Eberl
paulson <lp15@cam.ac.uk>
parents:
78890
diff
changeset
|
15 |
Sparse_In |
69676 | 16 |
(* Functional Analysis *) |
17 |
Elementary_Normed_Spaces |
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18 |
Norm_Arith |
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19 |
(* Vector Analysis *) |
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20 |
Convex_Euclidean_Space |
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71194 | 21 |
Operator_Norm |
22 |
(* Unsorted *) |
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23 |
Line_Segment |
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24 |
Derivative |
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25 |
Cartesian_Euclidean_Space |
|
78890
d8045bc0544e
Added Kronecker's approximation theorem. Requires adding Real_Asymp to HOL-Analysis. Funny syntax issue in Probability/Projective_Family
paulson <lp15@cam.ac.uk>
parents:
78127
diff
changeset
|
26 |
Kronecker_Approximation_Theorem |
71194 | 27 |
Weierstrass_Theorems |
69676 | 28 |
(* Measure and Integration Theory *) |
29 |
Ball_Volume |
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30 |
Integral_Test |
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31 |
Improper_Integral |
|
70694
ae37b8fbf023
New theory Equivalence_Measurable_On_Borel, with the HOL Light notion of measurable_on and its equivalence to ours
paulson <lp15@cam.ac.uk>
parents:
70621
diff
changeset
|
32 |
Equivalence_Measurable_On_Borel |
63626
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
hoelzl
parents:
63594
diff
changeset
|
33 |
Lebesgue_Integral_Substitution |
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
hoelzl
parents:
63594
diff
changeset
|
34 |
Embed_Measure |
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
hoelzl
parents:
63594
diff
changeset
|
35 |
Complete_Measure |
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
hoelzl
parents:
63594
diff
changeset
|
36 |
Radon_Nikodym |
63594
bd218a9320b5
HOL-Multivariate_Analysis: rename theories for more descriptive names
hoelzl
parents:
63129
diff
changeset
|
37 |
Fashoda_Theorem |
68465
e699ca8e22b7
New material in support of quaternions
paulson <lp15@cam.ac.uk>
parents:
68000
diff
changeset
|
38 |
Cross3 |
63129 | 39 |
Homeomorphism |
59453
4736ff5a41d8
moved bcontfun from AFP/Ordinary_Differential_Equations
hoelzl
parents:
56370
diff
changeset
|
40 |
Bounded_Continuous_Function |
69144
f13b82281715
new theory Abstract_Topology with lots of stuff from HOL Light's metric.sml
paulson <lp15@cam.ac.uk>
parents:
68625
diff
changeset
|
41 |
Abstract_Topology |
69922
4a9167f377b0
new material about topology, etc.; also fixes for yesterday's
paulson <lp15@cam.ac.uk>
parents:
69874
diff
changeset
|
42 |
Product_Topology |
70178
4900351361b0
Lindelöf spaces and supporting material
paulson <lp15@cam.ac.uk>
parents:
70089
diff
changeset
|
43 |
Lindelof_Spaces |
66277
512b0dc09061
HOL-Analysis: Infinite products
eberlm <eberlm@in.tum.de>
parents:
65040
diff
changeset
|
44 |
Infinite_Products |
74475
409ca22dee4c
new notion of infinite sums in HOL-Analysis, ordering on complex numbers
eberlm <eberlm@in.tum.de>
parents:
71200
diff
changeset
|
45 |
Infinite_Sum |
66480
4b8d1df8933b
HOL-Analysis: Convergent FPS and infinite sums
Manuel Eberl <eberlm@in.tum.de>
parents:
66296
diff
changeset
|
46 |
Infinite_Set_Sum |
63078
e49dc94eb624
Theory of polyhedra: faces, extreme points, polytopes, and the Krein–Milman
paulson <lp15@cam.ac.uk>
parents:
62408
diff
changeset
|
47 |
Polytope |
64846 | 48 |
Jordan_Curve |
63594
bd218a9320b5
HOL-Multivariate_Analysis: rename theories for more descriptive names
hoelzl
parents:
63129
diff
changeset
|
49 |
Poly_Roots |
62049
b0f941e207cf
Added lots of material on infinite sums, convergence radii, harmonic numbers, Gamma function
eberlm
parents:
61518
diff
changeset
|
50 |
Generalised_Binomial_Theorem |
63594
bd218a9320b5
HOL-Multivariate_Analysis: rename theories for more descriptive names
hoelzl
parents:
63129
diff
changeset
|
51 |
Gamma_Function |
68000
40b790c5a11d
Oops! Change_Of_Vars was not being imported to Analysis!
paulson <lp15@cam.ac.uk>
parents:
67996
diff
changeset
|
52 |
Change_Of_Vars |
70621
1afcfb7fdff4
entry point for analysis without integration theory
immler
parents:
70178
diff
changeset
|
53 |
Multivariate_Analysis |
68625
2ec84498f562
HOL-Analysis: Volume of a simplex, Heron's theorem
Manuel Eberl <eberlm@in.tum.de>
parents:
68465
diff
changeset
|
54 |
Simplex_Content |
71189
954ee5acaae0
Split off new HOL-Complex_Analysis session from HOL-Analysis
Manuel Eberl <eberlm@in.tum.de>
parents:
70694
diff
changeset
|
55 |
FPS_Convergence |
954ee5acaae0
Split off new HOL-Complex_Analysis session from HOL-Analysis
Manuel Eberl <eberlm@in.tum.de>
parents:
70694
diff
changeset
|
56 |
Smooth_Paths |
71197 | 57 |
Abstract_Euclidean_Space |
71200
3548d54ce3ee
split off metric spaces part of Function_Topology: subsequent theories Product_Topology, T1_Spaces, Lindelof_Spaces are purely topological
immler
parents:
71197
diff
changeset
|
58 |
Function_Metric |
33175 | 59 |
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