Lean - 2025 ACF Winter - Buzzpoints App

Question

Learners formalize aspects of Peano arithmetic in a tutorial for this programming language called The Natural Number Game. For 10 points each:

[10h] Name this language whose Mathlib library contains “tactics” used for computer formalization in mathematics. Like Agda and Rocq (“rock”), this language is dependently typed.

ANSWER: Lean [accept Lean 3 or Lean 4]

[10m] In May 2025, Terence Tao released a Lean repository to complement his textbook on this mathematical subfield, which rigorously introduces calculus concepts like continuity and convergence using “epsilon-delta” definitions.

ANSWER: real analysis [accept Analysis I; reject “complex analysis”]

[10e] Kevin Buzzard leads an ongoing project to formalize this theorem in Lean using a refinement of Andrew Wiles’s original approach. This theorem states there are no positive integer solutions to “a-to-the-n plus b-to-the-n equals c-to-the-n” for n greater than two.

ANSWER: Fermat’s last theorem [prompt on FLT; reject “Fermat’s little theorem”]

<Editors, Other Science>

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Summary


California	Main	Y	5	22.00	100%	80%	40%
Canada	Main	Y	6	25.00	100%	83%	67%
Florida	Main	Y	11	17.27	100%	64%	9%
Great Lakes	Main	Y	5	16.00	100%	60%	0%
Lower Mid-Atlantic	Main	Y	7	12.86	86%	43%	0%
Midwest	Main	Y	10	12.00	70%	50%	0%
North	Main	Y	10	13.00	60%	40%	30%
Northeast	Main	Y	5	12.00	80%	40%	0%
Overflow	Main	Y	4	12.50	75%	50%	0%
Overflow	Main	Y	1	10.00	0%	100%	0%
Pacific Northwest	Main	Y	12	20.00	92%	75%	33%
South Central	Main	Y	2	25.00	100%	100%	50%
Southeast	Main	Y	12	19.17	92%	75%	25%
UK	Main	Y	4	22.50	100%	100%	25%
Upper Mid-Atlantic	Main	Y	8	15.00	88%	50%	13%
Upstate NY	Main	Y	8	13.75	75%	50%	13%
2025 ACF Nationals	2025-08-09	Y	1	20.00	100%	100%	0%
2024 ARCADIA at UC Berkeley	04/19/2025	Y	3	16.67	67%	67%	33%

Data


Berkeley B	Berkeley E	10	10	10	30
Stanford A	Berkeley F	0	10	10	20
Berkeley C	Stanford B	10	10	10	30
Berkeley D	Stanford C	0	10	10	20
Berkeley A	UCSC	0	0	10	10
Claremont Scripps	UCLA C	10	10	10	30
USC	UCI	0	10	10	20
UCLA B	UCSB	10	10	10	30
UCSD Two Running Violet V Forms	UCLA D	10	10	10	30
UCSD Vices and Virtues	Claremont Pitzer	0	0	10	10
UCLA A	UCSD What Hath God Wrought	10	10	10	30
Guelph A	Queen's A	0	0	10	10
McMaster C	McGill A	0	10	10	20
Toronto D	McGill C	0	10	10	20
Toronto F	McMaster A	0	10	10	20
Toronto A	Toronto E	10	10	10	30
Toronto H	Toronto G	0	10	10	20
Carleton	Toronto K	0	0	10	10
Ottawa	Toronto I	0	10	10	20
McGill B	Toronto J	0	10	10	20
Toronto Metropolitan	McMaster B	0	0	10	10
Toronto C	Queen's B	0	0	10	10
Melbourne A	ERAU A	0	0	10	10
UCF B	UF A	0	0	10	10
UF D	Melbourne B	0	10	10	20
UCF A	UF E	0	10	10	20
FIU	USF	0	10	10	20
CWRU B	MSU B	0	0	10	10
OSU A	CWRU C	0	10	10	20
Pitt A	OSU B	0	10	10	20
Kenyon A	OSU C	0	0	0	0
OSU D	CWRU D	0	0	10	10
MSU A	Pitt B	0	0	10	10
CWRU A	Pitt C	0	10	10	20
Clemson A	Tennessee B	0	0	0	0
Clemson B	Liberty B	0	0	0	0
James Madison	Liberty C	0	0	0	0
Roanoke	Liberty A	0	0	10	10
NC State	Tennessee A	0	10	10	20
North Carolina A	South Carolina A	0	0	10	10
Virginia A	Tusculum	0	10	10	20
North Carolina C	Virginia B	0	10	10	20
North Carolina B	Virginia Tech A	0	10	10	20
Virginia Tech B	South Carolina B	0	10	10	20
George Washington A	Maryland D	0	0	0	0
George Mason A	George Washington B	0	0	0	0
Georgetown A	NYU A	0	0	0	0
Maryland A	NYU B	10	10	10	30
Notre Dame E	Maryland B	0	0	0	0
Johns Hopkins A	Penn A	10	10	10	30
Johns Hopkins C	Penn B	0	0	10	10
UMBC A	Catholic University	0	10	10	20
VCU A	Johns Hopkins B	10	10	10	30
Georgetown B	George Mason C	0	0	10	10
Swarthmore A	Lehigh A	0	0	10	10
Columbia B	Columbia A	0	10	10	20
Vassar A	Rutgers B	0	0	0	0
Rowan A	Rutgers C	0	0	10	10
WashU C	Missouri B	0	10	0	10
WashU D	Missouri B	0	0	0	0
Truman State	WashU C	0	10	10	20
WashU A	WashU B	0	10	10	20
William Woods	SIUE	0	0	10	10
Chicago B	Illinois A	0	10	10	20
Indiana A	Chicago C	10	10	10	30
Chicago D	Notre Dame D	10	10	10	30
Chicago A	Illinois C	10	10	10	30
Indiana B	Notre Dame B	0	0	0	0
Michigan C	Louisville B	0	10	10	20
Michigan A	Kentucky	0	10	10	20
Louisville A	Michigan D	0	0	10	10
Notre Dame A	Purdue A	0	10	10	20
Illinois B	Purdue B	0	10	10	20
Notre Dame C	Purdue C	0	0	10	10
Michigan B	UIC	10	10	10	30
Princeton A	Lehigh B	0	10	10	20
Iowa State	Carleton	10	10	10	30
Minnesota A	Macalester B	0	10	10	20
Yale A	Amherst B	0	10	10	20
Tufts A	BC A	0	10	10	20
MIT A	Bowdoin B	10	10	10	30
Bowdoin A	Brandeis Lloyd George	0	10	10	20
Brandeis Orlando	Cornell-UG	0	0	0	0
Brandeis Wilson	Yale B	0	0	10	10
Brown A	Brandeis Clemenceau	10	10	10	30
Brown B	BU	0	10	10	20
BC B	Brown C	0	10	10	20
Harvard	MIT B	0	10	10	20
Dartmouth	Tufts B	0	0	10	10
Amherst A	Williams	10	10	10	30
British Columbia C	British Columbia A	0	10	10	20
British Columbia D	British Columbia B	0	10	10	20
Washington A	Alberta	0	10	10	20
Simon Fraser	Washington B	10	10	10	30
Arizona State A	Ohio	10	10	10	30
Texas B	Alberta B	0	0	10	10
Northwestern A	Iowa	0	0	10	10
Northwestern C	UTD A	0	10	0	10
Rose State	Arizona State B	0	0	10	10
UCO	Texas A	0	0	10	10
Northwestern B	Tulsa	0	10	10	20
McGill D	UTD B	0	10	10	20
Alabama A	Georgia Tech D	0	0	0	0
Georgia Tech A	Auburn B	10	10	10	30
Auburn A	Georgia Tech C	0	10	10	20
Huntsville A	Alabama B	0	0	0	0
Georgia Tech B	Mississippi State A	0	0	10	10
Bruin A	UAB A	0	0	10	10
Vanderbilt A	Sewanee A	0	10	10	20
Vanderbilt B	Huntsville B	0	10	10	20
Imperial A	Cambridge A	0	10	10	20
Binghamton A	RIT A	0	10	10	20
RIT B	Cornell-DII	10	10	10	30
Syracuse	Rochester	0	0	0	0