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Proof Sweeper

Minesweeper where nothing opens until you prove it: pick a square, claim safe or mine, name the rule (done / full / subset) and tap the numbers that force it. A checker accepts only steps that really follow from what is open plus the mines you have already proven, and each accepted step becomes a numbered line of your written proof. Harder levels require the subset rule. You cannot lose, only prove. On-device. Ages 15-18.

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Built for sittings of about 25 minutes on the screen. That is our design budget, not a measurement.

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Live Mathematics / CCSS HSG-CO.C - prove theorems: write chains of reasoning where each step follows from stated facts Mathematics / CCSS MP.3 - construct viable arguments and critique the reasoning of others Hero color: #4A3F8C
Engagement: Modes pending

Characters who teach

Meet the cast

Proof Sweeper is for ages 15-18: the three RULES OF INFERENCE are the cast — done, full and subset — and ten case personas (see Proof cases). Lucia, a quick player whose teacher keeps writing 'why?', learns that a claim is only proven when she can name the rule and the facts that force it.

L

Lucia

(Case persona, 17) - learns a claim is proven only when she can name the rule and the premises that force it

T

Theo

(Case persona, 16) - learns every proof starts from a given — here, the safe opening

A

Amara

(Case persona, 15) - writes her first line: a claim, a rule, and the premise number

F

Felix

(Case persona, 17) - learns a premise only proves things about its own neighbours

Y

Yuki

(Case persona, 16) - writes the subset rule smaller set first — order is part of the meaning

O

Omar

(Case persona, 17) - proves a mine before using it — a hunch cannot be a premise

B

Beatriz

(Case persona, 15) - reads a rejected step as a to-do, not a verdict

S

Sven

(Case persona, 16) - finds a sound checker can never be tricked into a false step

Z

Zara

(Case persona, 17) - measures that a puzzle needs the rule it claims to teach

N

Nikhil

(Case persona, 16) - sees a proof as a chain each line of which can be checked from the lines above

What's distributed-narrative methodology? →

What's inside

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Learning goal

Minesweeper where nothing opens until you prove it: pick a square, claim safe or mine, name the rule (done / full / subset) and tap the numbers that force it. A checker accepts only steps that really follow from what is open plus the mines you have already proven, and each accepted step becomes a numbered line of your written proof. Harder levels require the subset rule. You cannot lose, only prove. On-device. Ages 15-18.

Mentored by Lucia — no data leaves the device.

How Proof Sweeper handles your kid's data

  • ✅ All progress, settings, and AI-generated content stays on the device
  • ✅ No analytics, no tracking, no third-party SDKs
  • ✅ Free — no ads, no in-app purchases
  • ✅ No personal information collected from children — in line with COPPA (updated by the 2026 FTC amendments)
  • ✅ No chat with strangers — play-together rooms use a short code and preset emotes, never typed messages

Full parent privacy guide →

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