Please fill in this with references to code.
InvExistsNonZero, the type of proofs that non zero elements of a field have multiplicative inverses.IsModGrp is the type of proofs that non zero elements of a field form a group over multiplication.IsField is the type of proofs that a given type with “additions” and “multiplication” appropriately defined on them form a field.HasFiniteOrder proving that an element is finitely generated.
Have to further work on it once primes have been defined with the appropriate properties.IsPrime and IsComposite types are the types of proofs that a number is prime or composite respectively.twoPr shows that two is a prime to verify the functioning of the IsPrime type.notBothPrimeandComp, which utilises a helper function aNotEqToMultA (a not equal to na, where n is greater than 1).genFact generates a list of factors of a number along with the proof that they are factors.isPrimeCalc and isCompositeCalc check for primality of a number computationally.genFact function mentioned earlier.genFact list.
commit 9c0a5615d9bf4a0853013c4208d79dbe3619e5a8
Author: Sidharth Soundararajan
AuthorDate: Mon Apr 22 12:49:29 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Mon Apr 22 12:49:29 2019 +0530
update
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.../0/B5465627D307BC93E8CC09C2977823BA25484925.gpg | Bin
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Assignments/NatTree.idr | Bin
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commit 71af6ed34b786ebe6feaf7b35addaee7036f2090
Author: Sidharth Soundararajan
AuthorDate: Mon Apr 22 12:36:50 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Mon Apr 22 12:36:50 2019 +0530
eitherPrimeOrComp partially done
.DS_Store | Bin 6148 -> 6148 bytes
Code/Order.idr | 120 ++++++++++++++++++++++++++++++++++++++++++++++++++++
Code/PrimeApple.idr | 31 ++++++++++----
3 files changed, 143 insertions(+), 8 deletions(-)
commit f350d5605e42e3fac009c8296648500bc4c36fdb
Author: Sidharth Soundararajan
AuthorDate: Thu Apr 11 10:37:14 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Thu Apr 11 10:37:14 2019 +0530
update
Code/Lists.idr | 1 -
Code/Primes.idr | 753 ++++++++++++++++++++++++++++----------------------------
2 files changed, 382 insertions(+), 372 deletions(-)
commit 92d14bc5d84aa79bb295a38720018890365002a6
Author: Sidharth Soundararajan
AuthorDate: Sat Mar 2 18:39:46 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sat Mar 2 18:39:46 2019 +0530
Update
Code/Group.FiniteGenerate.idr | 4 ++--
Code/Lists.idr | 1 +
Code/Primes.idr | 16 +++++++++++-----
3 files changed, 14 insertions(+), 7 deletions(-)
commit 2846bef2c91decaeea6e1a101a384495ab04675e
Author: Sidharth Soundararajan
AuthorDate: Mon Feb 25 18:32:10 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Mon Feb 25 18:32:10 2019 +0530
Update sideart.md
_reports/sideart/sideart.md | 28 +++++++++++++++-------------
1 file changed, 15 insertions(+), 13 deletions(-)
commit dbd83a440bcfce34a3ab346802aef2ffc65e4572
Author: Sidharth Soundararajan
AuthorDate: Sun Feb 24 20:54:48 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sun Feb 24 20:54:48 2019 +0530
added more functions to primes, created lists file
Code/Lists.idr | 9 +++++++++
Code/Primes.idr | 24 +++++++++++++++++++++---
_reports/sideart/sideart.md | 30 ++++++++++++++++++++++++++++++
3 files changed, 60 insertions(+), 3 deletions(-)
commit 29b47f98a3703fe20f078ee1361e69403d36a4de
Author: Sidharth Soundararajan
AuthorDate: Sun Feb 24 15:31:26 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sun Feb 24 15:31:26 2019 +0530
Update NatUtils.idr
Code/NatUtils.idr | 2 ++
1 file changed, 2 insertions(+)
commit 9c94ff6b87b827f723788dce5df6a88291564ec2
Author: Sidharth Soundararajan
AuthorDate: Sun Feb 24 03:20:38 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sun Feb 24 03:20:38 2019 +0530
redefined primes
redefined primes (removed them as data type), and created functions to show that a number cannot be both prime and composite
Code/Primes.idr | 20 ++++++++++++++++----
1 file changed, 16 insertions(+), 4 deletions(-)
commit 60967574f5ae4141f78ea4ee5ffa7edda3129583
Author: Sidharth Soundararajan
AuthorDate: Sun Feb 24 01:08:15 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sun Feb 24 01:08:15 2019 +0530
corrected primes
Code/Group.idr | 1 -
Code/NatUtils.idr | 9 +++++++
Code/Primes.idr | 71 ++++++++++++++++++++++++++++++++++++++++++++++---------
3 files changed, 69 insertions(+), 12 deletions(-)
commit cd372cc4b8af243ff69a02816aaabcb527410623
Author: Sidharth Soundararajan
AuthorDate: Sat Feb 23 14:17:55 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sat Feb 23 14:17:55 2019 +0530
Merge branch 'master' of https://github.com/siddhartha-gadgil/LTS2019
Code/Graph_alt.idr | 45 +++++++++
Group.CosetRep.idr => Code/Group.CosetRep.idr | 13 ++-
Code/Group.FiniteGenerate.idr | 4 +-
Code/NatOrder.idr | 139 ++++++++++++++++++++++++++
Code/NatUtils.idr | 15 ++-
Code/Primes.idr | 72 ++++---------
Code/fn_to_vect.idr | 74 ++++++++++++++
_reports/adithya/gitlog | 109 ++++++++++++++++++++
_reports/arka/gitlog | 44 ++++++++
_reports/chinmaya/gitlog | 79 +++++++++++++++
_reports/nabarun/gitlog | 33 ++++++
_reports/ss/gitlog | 47 +++++++++
12 files changed, 607 insertions(+), 67 deletions(-)
commit 56ffb1128840ea38549d4e6791bda9befcc78e43
Author: Sidharth Soundararajan
AuthorDate: Fri Feb 22 15:07:14 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Fri Feb 22 15:07:14 2019 +0530
have to clean the code
Code/Primes.idr | 42 +++++++++++++++++++++++++-----------------
1 file changed, 25 insertions(+), 17 deletions(-)
commit 677a7bddcc9cc810ea419fcae5b794cb39f14483
Author: Sidharth Soundararajan
AuthorDate: Wed Feb 20 20:45:10 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Wed Feb 20 20:45:10 2019 +0530
Update Primes.idr
Code/Primes.idr | 21 ++++++++++++++++++---
1 file changed, 18 insertions(+), 3 deletions(-)
commit 804e287d355333a5dcf32c942cefa3c16f7ac50d
Author: Sidharth Soundararajan
AuthorDate: Wed Feb 20 16:19:38 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Wed Feb 20 16:19:38 2019 +0530
create list with factors of numbers and check if number is prime
Code/Primes.idr | 50 ++++++++++++++++++++++++--------------------------
1 file changed, 24 insertions(+), 26 deletions(-)
commit 044be5279e8bd8dfb4325f4e13d4d2e66136c7a2
Author: Sidharth Soundararajan
AuthorDate: Thu Feb 14 16:55:52 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Thu Feb 14 16:55:52 2019 +0530
Created file for finitely generated abelian groups project
.DS_Store | Bin 0 -> 8196 bytes
Code/Group.FiniteGenerate.idr | 26 ++++++++++++++++++++++++++
2 files changed, 26 insertions(+)
commit b9c13142932c1fbfb04b1e9e9e9e1173f5cd818f
Author: Sidharth Soundararajan
AuthorDate: Sun Feb 10 22:05:12 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sun Feb 10 22:05:12 2019 +0530
Corrected error in definition of Field (multiplicatiove inverse requires non zero elements)
Code/Field.idr | 24 +++++++++++++++++++++---
Code/Group.idr | 28 ++++++++++++++--------------
2 files changed, 35 insertions(+), 17 deletions(-)
commit e95b0ba8fec866be5370bd3fd843894b607ffd7a
Author: Sidharth Soundararajan
AuthorDate: Sat Feb 9 19:50:36 2019 +0530
Commit: Sidharth Soundararajan
CommitDate: Sat Feb 9 19:50:36 2019 +0530
Create Field.idr
Code/Field.idr | 12 ++++++++++++
1 file changed, 12 insertions(+)