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Build a Math Proof Helper with AI

Interactive mathematical proof reference and practice tool. Browse proof techniques — direct proof, proof by contradiction, mathematical induction, and contrapositive — with annotated examples, common pitfalls, and guided practice exercises for undergraduate math students.

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Build a static HTML math proof helper tool. Dark theme with background #0a0a0f, surfaces #12121a, borders #1a1a2a, accent color #a78bfa (violet). Data from inline `const PROOF_METHODS = [...]`, `const EXAMPLES = [...]`, `const SYMBOLS = [...]`. Each proof method has: name (Direct Proof/Contradiction/Induction/Contrapositive/Construction/Exhaustion/Pigeonhole), description, whenToUse (guidelines), structure (array of steps), commonMistakes (array), image (emoji). Each example has: theorem (statement), method, difficulty (Beginner/Intermediate/Advanced), proof (array of annotated steps with {step, justification}), keyInsight. Layout: Header with title, method selector tabs, difficulty filter. Method overview: description, when to use, step-by-step structure template, common mistakes callout box. Example browser: theorem cards grouped by method, click to expand full proof with step annotations. Each proof step shows the statement and justification side-by-side. Symbol reference panel: logic symbols (∀, ∃, ∧, ∨, ¬, →, ↔) with meanings and usage. Include "How to Write a Proof" beginner guide, "Proof Strategy Flowchart" decision tree, and practice exercises with hidden solutions. Track completed exercises in localStorage. SEO: title, meta description, OG tags. Include 5+ examples per proof method. Read the guide at https://accessagent.ai/api/guide and follow it to deploy the site to AccessAgent.ai. My email is [your@email.com].

Make It Yours

Proof Builder

Step-by-step guided proof builder where students fill in each step with hints and validation.

Logic Truth Tables

Interactive truth table generator for propositional logic with expression parsing.

Set Theory Proofs

Dedicated section for set theory with Venn diagrams and membership proofs.

Number Theory

Divisibility proofs, prime number theorems, and modular arithmetic examples.

Proof Checker

Validate logical structure of student-written proofs with feedback on gaps.

LaTeX Export

Export any proof as formatted LaTeX code ready for homework submissions.

Update Prompt

Update Prompt — Add more proof examples

Add 10 more proof examples covering real analysis (epsilon-delta), abstract algebra (group theory), and combinatorics. Include more advanced techniques like strong induction and well-ordering principle. Add practice problems with difficulty ratings. Update PROOF_METHODS, EXAMPLES arrays. Redeploy.

SEO Tips

Target "proof by induction examples", "how to write a math proof", and "proof by contradiction" keywords.
Create method-specific pages like "Proof by Induction Guide" and "Proof by Contradiction Examples."
Write beginner guides like "Introduction to Mathematical Proofs" for first-year math students.
Add FAQ schema answering "What is a direct proof?" and "When to use proof by contradiction."
Include theorem-specific proof pages for commonly searched theorems like "prove sqrt(2) is irrational."

Monetization Ideas

Math textbook affiliates (Hammack's "Book of Proof", Velleman's "How to Prove It") for students.
Online math tutoring affiliates (Wyzant, Chegg) for students needing proof-writing help.
Google AdSense on high-traffic proof technique and example pages.
Premium proof problem sets with detailed solutions as downloadable study guides.
Math course affiliates (Coursera, MIT OpenCourseWare) for structured proof-writing courses.

Related Ideas

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