Leonardo de Moura
a618bd7d6c
refactor(library): use type classes for encoding all arithmetic operations
...
Before this commit we were using overloading for concrete structures and
type classes for abstract ones.
This is the first of series of commits that implement this modification
2015-11-08 14:04:54 -08:00
Leonardo de Moura
5f967f40b2
fix(library/data/nat/basic): simplify two lemmas
2015-10-07 10:32:20 -07:00
Sebastian Ullrich
d1b5031dbd
feat(library): add some spacing hints
2015-09-30 17:36:32 -07:00
Rob Lewis
ee257a7c6c
chore(library/data/{nat,real}): rename and move iterate function
2015-09-16 08:28:11 -07:00
Jeremy Avigad
7dda69fec7
feat/refactor(library/theories/number_theory/irrational_roots,library/*): show nth roots irrational, and add lots of missing theorems
2015-08-16 23:23:23 -04:00
Jeremy Avigad
e416291135
feat(library/algebra/*,library/data/*): small additions and changes
2015-08-14 18:49:57 -07:00
Jeremy Avigad
4a36f843f7
refactor(library/algebra/group_power,library/*): change definition of pow
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I changed the definition of pow so that a^(succ n) reduces to a * a^n rather than a^n * a.
This has the nice effect that on nat and int, where multiplication is defined by recursion on the right,
a^1 reduces to a, and a^2 reduces to a * a.
The change was a pain in the neck, and in retrospect maybe not worth it, but oh, well.
2015-08-14 18:49:57 -07:00
Leonardo de Moura
d2eb99bf11
refactor(library/logic): move logic/choice.lean to init/classical.lean
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choice axiom is now in the classical namespace.
2015-08-12 18:37:33 -07:00
Leonardo de Moura
6fd3affeb1
feat(library/data/finset/equiv): show that (finset nat) is isomorphic to nat
2015-08-11 15:54:14 -07:00
Leonardo de Moura
1cacac2789
feat(library/data/nat/parity): add auxiliary lemma
2015-08-11 14:20:58 -07:00
Leonardo de Moura
0e98f10c96
feat(library/data/nat/div): add div_div_eq_div_mul theorem for nat
2015-08-10 19:30:00 -07:00
Leonardo de Moura
de3d0e4162
feat(library/data/list/comb): show that (list A) is isomorphic to A if A is isomorphic to nat
2015-08-10 16:04:02 -07:00
Leonardo de Moura
5ca37dace0
fix(library/data/nat/order): fixes #786
2015-08-09 23:36:07 -07:00
Jeremy Avigad
f97298394b
feat(library/data/nat/bigops,library/data/set/card,library/*): add set versions of bigops for nat
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This required splitting data/set/card.lean from data/set/finite.lean, to avoid dependencies
2015-08-08 17:20:23 -04:00
Jeremy Avigad
eaf886cb5a
refactor(library/algebra/group_bigops,library/*): put group_bigops in 'finset' namespace, in preparation for set versions
2015-08-08 04:23:52 -07:00
Jeremy Avigad
9ff0097223
refactor(library/algebra/{lattice,order},library/data/nat): split lattice from order, make nat an instance of discrete linear order
2015-08-03 22:41:56 -04:00
Jeremy Avigad
0def951efa
refactor(library/data/nat/sub,*): get rid of diff, tidy some max and min theorems
2015-08-03 22:41:56 -04:00
Rob Lewis
25aa5b3939
feat(library/data/nat): define least function for nat
2015-07-31 08:28:36 -07:00
Leonardo de Moura
44518fcab1
refactor(library/theories/group_theory): move diff to nat
2015-07-30 20:14:48 -07:00
Leonardo de Moura
88c659c54e
feaf(library): make sure basic standard library can be compiled with option "--to_axiom"
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We use this option to erase proofs when generating the javascript
version. The proofs are erased to minimize the size of the file that
must be downloaded by users
2015-07-29 16:11:23 -07:00
Jeremy Avigad
6355670ac4
fix(library/data/nat/nat.md): add 'find' to markdown file
2015-07-27 07:46:59 -07:00
Leonardo de Moura
a124bc246a
feat(library/data/fin): add equivalences between fin types
2015-07-26 15:42:39 -07:00
Leonardo de Moura
a883b72a25
fix(library/data): 'choose' -> 'find' renaming problems
2015-07-25 11:25:04 -07:00
Jeremy Avigad
d3cd0bb8ff
refactor(library/data/nat/find): rename 'choose' to 'find' to avoid conflict with combinatorics 'choose'
2015-07-25 14:02:44 -04:00
Leonardo de Moura
43f5f70414
feat(library/data/bag): add basic properties for bag intersection and union
2015-07-25 08:37:30 -07:00
Mario Carneiro
066b0fcdf9
feat(library): clean up "sorry"s in library
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Breaking changes: pnat was redefined to use subtype instead of a custom inductive type, which affects the notation for pnat 2 and 3
2015-07-24 12:21:33 -04:00
Leonardo de Moura
fbaa8b21f6
refactor(library/data/nat): cleanup for the tutorial
2015-07-22 13:41:50 -07:00
Leonardo de Moura
e969c7a8d6
refactor(library): remove 'simp' hack
2015-07-22 10:13:19 -07:00
Leonardo de Moura
092c8d05b9
feat(frontends/lean,library): rename '[rewrite]' to '[simp]'
2015-07-22 09:01:42 -07:00
Leonardo de Moura
0de715ae54
refactor(library/data): cleanup proofs using new features
2015-07-21 09:57:10 -07:00
Leonardo de Moura
48f8b8f18d
refactor(library): use new 'suppose'-expression
2015-07-19 21:15:20 -07:00
Leonardo de Moura
c2fc612ec1
fix(library/data/nat/order): add missing theorems back
2015-07-19 20:21:25 -07:00
Leonardo de Moura
d2f64d7744
feat(library/data/nat/order): add 'max/min' auxiliary theorems
2015-07-19 20:15:11 -07:00
Leonardo de Moura
d91627ebec
refactor(library): move 'max/min' to 'data/nat'
2015-07-19 19:47:14 -07:00
Leonardo de Moura
92f8eb173b
feat(frontends/lean): use 'this' as the name for anonymous 'have'-expression
2015-07-18 13:36:05 -05:00
Leonardo de Moura
ade60278d0
refactor(library): rename iff.mp' to iff.mpr
2015-07-18 08:52:58 -05:00
Leonardo de Moura
9d83361fdc
refactor(library): use subtype instead of sigma
2015-07-16 22:48:33 -04:00
Leonardo de Moura
89f69630b6
feat(library): use sigma instead of exists (experimental)
2015-07-15 15:49:47 -04:00
Leonardo de Moura
3ab0e07ba9
feat(frontends/lean): add simp tactic frontend stub
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This commit also removes the fake_simplifier. It doesn't work anymore
because simp is now a reserved word.
2015-07-14 09:54:53 -04:00
Haitao Zhang
5034de9c4e
feat(library/data/nat/power): add nat power divide theorems
2015-07-13 22:02:17 -04:00
Leonardo de Moura
ebe6ec0017
feat(library): add '[rewrite]' annotation some some theorems
2015-07-13 16:39:53 -04:00
Jeremy Avigad
70407473c2
feat(library/theories/combinatorics/choose): begin theory of binomial coefficients
2015-07-11 19:01:43 -04:00
Leonardo de Moura
8e8e08cfe7
feat(library/tactic): use occurrence object in unfold tactic family
2015-07-11 18:53:45 -04:00
Leonardo de Moura
d939509135
doc(library/data/nat/examples): add tail recursive fib example
2015-07-10 20:38:07 -04:00
Leonardo de Moura
fc82b46171
chore(library/data/nat/examples/fib): cleanup example
2015-07-10 08:18:30 -04:00
Leonardo de Moura
32cc2e917b
doc(library/data/nat/examples): add examples
2015-07-09 21:56:48 -04:00
Jeremy Avigad
2e3b1b04cd
feat(library/algebra/ring_power): add properties of power in ring structures
2015-07-07 21:05:48 -07:00
Jeremy Avigad
31aeff95d5
refactor(library/algebra/ordered_ring): remove 0 ~= 1 from ordered_semiring, add 0 < 1 to linear_ordered_semiring
2015-07-07 21:05:48 -07:00
Jeremy Avigad
e35f05ad47
feat(library/data/nat/order): add greatest i < n st P i
2015-07-07 21:05:48 -07:00
Leonardo de Moura
01ba0b4747
feat(library/logic/equiv): add equivalence between types
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This is a good test for the simplifier
2015-07-06 11:17:03 -07:00
