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1132 commits

Author SHA1 Message Date
Jeremy Avigad
54128eb45f feat(library/theories/number_theory/bezout): add Bezout's theorem, adapted from William Peterson's project 2015-06-27 19:13:36 +10:00
Jeremy Avigad
f8d8a2aed6 feat(library/data/nat/div): add characterization of mod 2015-06-27 18:51:44 +10:00
Jeremy Avigad
829c3fb22c refactor(library/data/int/div): reorient of_nat_div and of_nat_mod 2015-06-27 18:47:36 +10:00
Jeremy Avigad
7c118f40fe feat(library/data/nat/sub): add calculation facts for sub 2015-06-27 18:41:57 +10:00
Leonardo de Moura
97b3fd45ce fix(library/logic/axioms/prop_decidable): fixes #704 2015-06-26 19:14:36 -07:00
Leonardo de Moura
a2cbf3dbca refactor(library/data/fin): adjust proofs to support new approach for projections 2015-06-26 17:18:29 -07:00
Floris van Doorn
124c9d3d8a feat(hott): various cleanup and fixes, rename \~ to ~, expand types.pointed 2015-06-25 22:31:40 -04:00
Floris van Doorn
0b9c8e14a4 fix(*/init/nat): fix occurrences where both theorem and [unfold-c] were used 2015-06-25 22:31:40 -04:00
Leonardo de Moura
1b414d36e7 refactor(library/init): define prod as an inductive datatype 
Motivation: prod is used internally in the definitional package.
If we define prod as a structure, then Lean will tag pr1 and pr2 as
projections. This creates problems when we add special support for
projections in the elaborator. The heuristics avoid some case-splits
that are currently performed, and without them some files break.
 2015-06-25 17:59:06 -07:00
Leonardo de Moura
d2e64d30e8 refactor(library/data/quotient): make proofs more robust 2015-06-25 17:48:58 -07:00
Leonardo de Moura
c9f3b766f8 refactor(library/algebra/category/constructions): modify proof 
It was affected by the new way of handling projections that we will implement
 2015-06-25 17:48:26 -07:00
Floris van Doorn
fa1979c128 feat(datatypes): let the type of unit be the lowest non-Prop universe 
The definitional package (brec_on and cases_on) now use poly_unit instead of unit

closes #698
 2015-06-25 17:33:46 -07:00
Jeremy Avigad
a0461262d0 feat(library/data/real/*.lean): migrate theorems from algebra 2015-06-25 17:30:12 -07:00
Rob Lewis
4161b9ccbf feat(library/data/real): rearrange constant sequence theorems to introduce rat coercion earlier. begin migrating theorems from algebra 2015-06-25 17:30:12 -07:00
Rob Lewis
82950e1c52 chore(library/algebra/ordered_field): remove redundant line in calc 2015-06-25 17:30:12 -07:00
Rob Lewis
afcf785f03 chore(library/data): update data.md 2015-06-25 17:30:12 -07:00
Leonardo de Moura
8967f57818 refactor(library/data/list): reduce reliance on definitional equality 2015-06-24 15:58:19 -07:00
Leonardo de Moura
018518f0cf refactor(library/algebra/ring): more robust proofs 2015-06-22 15:31:03 -07:00
Leonardo de Moura
7ffabeb245 refactor(library/algebra/group): avoid abuse of rewrite tactic 
The two instances are relying on the fact that (a - b) reduces to (a + -b)
 2015-06-22 15:11:14 -07:00
Leonardo de Moura
cfafc90cc0 refactor(hott,library): make sure files compile even without using "projection macros" 2015-06-22 12:22:11 -07:00
Jeremy Avigad
d28eb919f1 refactor(library/logic/axioms/examples/diaconescu.lean): mild reformatting, to match tutorial 2015-06-20 21:13:00 -07:00
Jeremy Avigad
7d204fdd91 refactor(library/data/finset/card.lean): add useful facts, shorter proof of eq_card_of_eq_subset 2015-06-20 21:13:00 -07:00
Leonardo de Moura
ee0d919c6f feat(library/data/finset/card): add eq_of_card_eq_of_subset theorem 2015-06-19 20:05:32 -07:00
Leonardo de Moura
2910c780d0 feat(library/data/finset/basic): add auxiliary card lemma 2015-06-19 20:05:32 -07:00
Leonardo de Moura
4246a64913 feat(library/data/finset/basic): add more theorems for finset erase 2015-06-19 20:05:32 -07:00
Leonardo de Moura
5f293cee9c refactor(library/algebra/ordered_field): improve compilation time 2015-06-18 16:12:24 -07:00
Leonardo de Moura
70fc05294b refactor(library/local_context): avoid hack in local_context 2015-06-18 15:41:00 -07:00
Leonardo de Moura
a4c0699e81 feat(library/tactic/constructor_tactic): restore 'constructor' tactic old semantics, add 'fconstructor' tactic 
See issue #676

Add new test demonstrating why it is useful to have the old semantics
for 'constructor'
 2015-06-17 23:48:54 -07:00
Leonardo de Moura
d12b5613c6 feat(library/data/set): show that (set A) is a comm_semiring 2015-06-17 09:53:50 -07:00
Haitao Zhang
1aff1f7cde fix(library/data/fintype/function): make inj_of_nodup and nodup_of_inj more general 2015-06-16 19:17:53 -07:00
Haitao Zhang
8817042318 feat(library/data/fin) : establish add_comm_group on fin using madd 2015-06-16 16:38:47 -07:00
Leonardo de Moura
d43e0891ae fix(library/init/logic): make sure library can be compiled using '--to_axiom' option 2015-06-16 13:10:08 -07:00
Leonardo de Moura
b80a391d63 fix(library/init/sigma): make sure file compiles even when '--to_axiom' is used 2015-06-16 12:52:08 -07:00
Rob Lewis
a72ca936c0 chore(library/real): replace theorems with versions from algebra 2015-06-16 11:30:12 -07:00
Rob Lewis
f7ab2780d4 feat(library/algebra): move more theorems from reals to algebra) 2015-06-16 11:30:12 -07:00
Rob Lewis
b94d0a948d chore(library/data/real): replace theorems with more general versions from algebra 2015-06-16 11:30:12 -07:00
Rob Lewis
b23e23061f feat(library/algebra): finish/move more general theorems from reals to algebra) 2015-06-16 11:30:12 -07:00
Rob Lewis
8d0518444d chore(library/data/{pnat, real}): rename pnat theorems 2015-06-16 11:30:12 -07:00
Rob Lewis
ff0ba6687e feat(library/algebra/ordered_field): move identity about abs to ordered_field 2015-06-16 11:30:12 -07:00
Rob Lewis
090f00458d chore(library/data/real): remove redundant theorems 2015-06-16 11:30:12 -07:00
Rob Lewis
34868d196e feat(library/data/rat): define pos natural upper bounds of rationals 2015-06-16 11:30:12 -07:00
Rob Lewis
1f4765e30a feat(library/algebra/ordered_ring): add theorems used for rational upper bounds 2015-06-16 11:30:12 -07:00
Rob Lewis
cf7c85e5fd feat(library/data/real): fill in lots of sorrys about pnats 2015-06-16 11:30:12 -07:00
Rob Lewis
4b38e14586 feat(library/algebra/ordered_field): add a couple missing theorems to ordered_field 2015-06-16 11:30:12 -07:00
Rob Lewis
a79ec6b0d4 feat(library/data/pnat): move facts about positive nats to their own file 2015-06-16 11:30:12 -07:00
Jeremy Avigad
9249ebdaab feat(library/data/{nat,int}/div.lean): add properties of add and mod 2015-06-15 22:53:11 +10:00
Jeremy Avigad
6b36076ab5 feat({library,hott}/init/nat): add sub_le_succ 2015-06-15 22:53:11 +10:00
Jeremy Avigad
3b010b8c92 feat({library,hott}/algebra/group): add abbreviations e.g. for mul.cancel_left 2015-06-15 22:53:11 +10:00
Jeremy Avigad
a4a8253f50 refactor(library,hott,tests): rename succ_inj to succ.inj, add abbreviation eq_of_succ_eq_succ 2015-06-15 22:52:38 +10:00
Haitao Zhang
679bb8b862 feat(library/data/fin): add more theorems on finite ordinals 
Add defintional equalities, properties of lifting and lowering functions, and definitions of madd.
 2015-06-14 20:49:47 -07:00