| author | wenzelm | 
| Wed, 20 Oct 2021 17:11:46 +0200 | |
| changeset 74560 | 5c8177fd1295 | 
| parent 74475 | 409ca22dee4c | 
| child 77102 | 780161d4b55c | 
| 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 *)  | 
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7  | 
Connected  | 
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| 69874 | 8  | 
Abstract_Limits  | 
| 69676 | 9  | 
(* Functional Analysis *)  | 
10  | 
Elementary_Normed_Spaces  | 
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11  | 
Norm_Arith  | 
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12  | 
(* Vector Analysis *)  | 
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13  | 
Convex_Euclidean_Space  | 
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| 71194 | 14  | 
Operator_Norm  | 
15  | 
(* Unsorted *)  | 
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16  | 
Line_Segment  | 
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17  | 
Derivative  | 
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18  | 
Cartesian_Euclidean_Space  | 
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19  | 
Weierstrass_Theorems  | 
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| 69676 | 20  | 
(* Measure and Integration Theory *)  | 
21  | 
Ball_Volume  | 
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22  | 
Integral_Test  | 
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23  | 
Improper_Integral  | 
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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
 | 
24  | 
Equivalence_Measurable_On_Borel  | 
| 
63626
 
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
 
hoelzl 
parents: 
63594 
diff
changeset
 | 
25  | 
Lebesgue_Integral_Substitution  | 
| 
 
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
 
hoelzl 
parents: 
63594 
diff
changeset
 | 
26  | 
Embed_Measure  | 
| 
 
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
 
hoelzl 
parents: 
63594 
diff
changeset
 | 
27  | 
Complete_Measure  | 
| 
 
44ce6b524ff3
move measure theory from HOL-Probability to HOL-Multivariate_Analysis
 
hoelzl 
parents: 
63594 
diff
changeset
 | 
28  | 
Radon_Nikodym  | 
| 
63594
 
bd218a9320b5
HOL-Multivariate_Analysis: rename theories for more descriptive names
 
hoelzl 
parents: 
63129 
diff
changeset
 | 
29  | 
Fashoda_Theorem  | 
| 
68465
 
e699ca8e22b7
New material in support of quaternions
 
paulson <lp15@cam.ac.uk> 
parents: 
68000 
diff
changeset
 | 
30  | 
Cross3  | 
| 63129 | 31  | 
Homeomorphism  | 
| 
59453
 
4736ff5a41d8
moved bcontfun from AFP/Ordinary_Differential_Equations
 
hoelzl 
parents: 
56370 
diff
changeset
 | 
32  | 
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
 | 
33  | 
Abstract_Topology  | 
| 
69922
 
4a9167f377b0
new material about topology, etc.; also fixes for yesterday's
 
paulson <lp15@cam.ac.uk> 
parents: 
69874 
diff
changeset
 | 
34  | 
Product_Topology  | 
| 
70178
 
4900351361b0
Lindelöf spaces and supporting material
 
paulson <lp15@cam.ac.uk> 
parents: 
70089 
diff
changeset
 | 
35  | 
Lindelof_Spaces  | 
| 
66277
 
512b0dc09061
HOL-Analysis: Infinite products
 
eberlm <eberlm@in.tum.de> 
parents: 
65040 
diff
changeset
 | 
36  | 
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
 | 
37  | 
Infinite_Sum  | 
| 
66480
 
4b8d1df8933b
HOL-Analysis: Convergent FPS and infinite sums
 
Manuel Eberl <eberlm@in.tum.de> 
parents: 
66296 
diff
changeset
 | 
38  | 
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
 | 
39  | 
Polytope  | 
| 64846 | 40  | 
Jordan_Curve  | 
| 
63594
 
bd218a9320b5
HOL-Multivariate_Analysis: rename theories for more descriptive names
 
hoelzl 
parents: 
63129 
diff
changeset
 | 
41  | 
Poly_Roots  | 
| 
62049
 
b0f941e207cf
Added lots of material on infinite sums, convergence radii, harmonic numbers, Gamma function
 
eberlm 
parents: 
61518 
diff
changeset
 | 
42  | 
Generalised_Binomial_Theorem  | 
| 
63594
 
bd218a9320b5
HOL-Multivariate_Analysis: rename theories for more descriptive names
 
hoelzl 
parents: 
63129 
diff
changeset
 | 
43  | 
Gamma_Function  | 
| 
68000
 
40b790c5a11d
Oops! Change_Of_Vars was not being imported to Analysis!
 
paulson <lp15@cam.ac.uk> 
parents: 
67996 
diff
changeset
 | 
44  | 
Change_Of_Vars  | 
| 
70621
 
1afcfb7fdff4
entry point for analysis without integration theory
 
immler 
parents: 
70178 
diff
changeset
 | 
45  | 
Multivariate_Analysis  | 
| 
68625
 
2ec84498f562
HOL-Analysis: Volume of a simplex, Heron's theorem
 
Manuel Eberl <eberlm@in.tum.de> 
parents: 
68465 
diff
changeset
 | 
46  | 
Simplex_Content  | 
| 
71189
 
954ee5acaae0
Split off new HOL-Complex_Analysis session from HOL-Analysis
 
Manuel Eberl <eberlm@in.tum.de> 
parents: 
70694 
diff
changeset
 | 
47  | 
FPS_Convergence  | 
| 
 
954ee5acaae0
Split off new HOL-Complex_Analysis session from HOL-Analysis
 
Manuel Eberl <eberlm@in.tum.de> 
parents: 
70694 
diff
changeset
 | 
48  | 
Smooth_Paths  | 
| 71197 | 49  | 
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
 | 
50  | 
Function_Metric  | 
| 33175 | 51  | 
begin  | 
52  | 
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53  | 
end  |