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Logic definitions for Metamath projects

Project description

metamath-logic

metamath-logic is a small Python package that exports the “logic” layer used by ProofScaffold-based Metamath projects. It provides reusable propositional and predicate logic artifacts that downstream packages can depend on and link against.

Versioning

  • Package version: 0.0.5
  • ProofScaffold dependency: proof-scaffold==0.0.8
  • Prelude dependency: metamath-prelude==0.0.5

Installation

This package is published on PyPI: https://pypi.org/project/metamath-logic/

With uv:

uv add metamath-logic

What this package contains

  • A ProofScaffold build.py entrypoint that emits the logic layer as a linkable unit.
  • Authoring-facing propositional and predicate logic libraries (Hilbert-style systems).
  • Propositional syntax/helpers beyond the foundation frame: wa, wo, wb, wtru, wfal, mp, idi, a1ii.
  • A migration guide for the logic layer refactor.

Migration guide

Verification

This repository uses uv for reproducible installs and runs skfd verify --level 1 as the primary correctness gate.

From the metamath-logic/ directory:

uv sync --locked --dev
uv run --frozen ruff check .
uv run --frozen mypy .
uv run --frozen python -m pytest
uv run --frozen skfd verify --level 1 metamath-logic

skfd verify builds the package into a verification monolith (under target/) and checks it with the configured verifiers.

When using a ProofScaffold version that supports proof coverage declarations, the package declares its Hilbert theorem registry during build(ctx). To require that every declared theorem is emitted into the verification monolith, run:

uv run --frozen skfd verify --coverage declared --level 1 metamath-logic

This is stricter than artifact verification and is expected to fail until the declared registry and emitted proof closure are aligned.

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