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Research-Stack/obsidian-vault/08-TOOLS/01-Templates/Formal Proof.md
Brandon Schneider 54004abe71 Setup Obsidian Knowledge Base for Research Stack 
Created comprehensive Obsidian vault for managing Research Stack knowledge:

Core Structure:
- 00-MAP/ - Navigation, Dashboard, Core Concepts, Glossary, Getting Started
- 01-LAYERS/ - All 7 USTSM layers (L0-L6) with formal proofs, docs, receipts, hardware
- 07-RESEARCH/ - Milestones, Attack Plans, Conjectures, Experiments
- 08-TOOLS/ - Templates, Workflows, Scripts
- 09-REFERENCES/ - External resources
- 10-ARCHIVE/ - Completed items

Configuration Files:
- .obsidian/app.json - Vault settings
- .obsidian/community-plugins.json - Plugin configuration
- .obsidian/snippets/research-stack.css - Custom theme with layer colors
- .obsidian/plugins/ - Templater, QuickAdd, Dataview settings
- .obsidian/workspaces.json - Pre-configured workspaces

Templates Created:
- Formal Proof - For Lean theorem documentation
- Attack Plan - For research initiatives
- Milestone - For project milestones
- Receipt - For validation receipts
- Daily Standup - For daily progress tracking

Features:
- Dataview dashboard queries for system health
- Layer-specific color coding (L0-L6)
- Receipt styling and validation status
- Graph view customization
- QuickAdd commands for rapid note creation
- Templater automation with research helpers
- Pre-configured workspaces for different activities

Documentation:
- README.md - Complete vault guide
- Getting Started.md - Step-by-step tutorial
- Core Concepts.md - Fundamental principles
- Glossary.md - Research Stack terminology

Burgers 4-Theorem Attack Plan documented:
- Energy Dissipation theorem
- CFL Stability theorem
- Mass Conservation theorem
- Complexity Regularization theorem

Generated with [Devin](https://cli.devin.ai/docs)

Co-Authored-By: Devin <158243242+devin-ai-integration[bot]@users.noreply.github.com>
2026-05-19 14:40:41 +00:00

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title type layer status created modified lean-module dependencies related-theorems receipts
<% tp.file.title %> formal-proof <% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0 - Primordial', 'L1 - Geometric', 'L2 - Biological', 'L3 - Thermodynamic', 'L4 - Security', 'L5 - Semantic', 'L6 - Meta']) %> <% tp.system.suggester(['draft', 'in-progress', 'proven', 'verified'], ['Draft', 'In Progress', 'Proven', 'Verified']) %> <% tp.date.now('YYYY-MM-DD') %> <% tp.date.now('YYYY-MM-DD') %>

<% tp.file.title %>

Overview

Layer Context

Layer: <% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0 - Primordial', 'L1 - Geometric', 'L2 - Biological', 'L3 - Thermodynamic', 'L4 - Security', 'L5 - Semantic', 'L6 - Meta']) %>

Formal Statement

theorem <% tp.file.title %> [hypotheses] : conclusion :=
  sorry

Proof Strategy

Key Lemmas

Dependencies

Lean Implementation

-- Path: 0-Core-Formalism/lean/Semantics/

Receipt Generation

def <% tp.file.title %>Receipt (state : State) : String :=
  "<% tp.file.title %>:" ++ toString state.val ++ ","

Verification Status

  • Formal Verification: <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
  • Code Review: <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>
  • Testing: <% tp.system.suggester(['pending', 'in-progress', 'complete'], ['Pending', 'In Progress', 'Complete']) %>

Related Work

Notes

Tags

#formal-proof #layer-<% tp.system.suggester(['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6'], ['L0', 'L1', 'L2', 'L3', 'L4', 'L5', 'L6']) %> #status-<% tp.system.suggester(['draft', 'in-progress', 'proven', 'verified'], ['draft', 'in-progress', 'proven', 'verified']) %>