Provide Lean 4 tactic replacements for environments without Mathlib.
npx skills add https://github.com/kim-em/lean-zip --skill lean-no-mathlib
Please help me install this Agent Skill. Skill: lean-no-mathlib Source: https://github.com/kim-em/lean-zip/tree/main/.claude/skills/lean-no-mathlib Command: npx skills add https://github.com/kim-em/lean-zip --skill lean-no-mathlib
This Skill provides alternative Lean 4 tactics and names when Mathlib is unavailable, enabling development in Lean 4 core + Std environments.
ring, field_simp, norm_num, push_neg, by_contra, and rcases.le_refl and Nat.gt_of_not_le.omega, simp, grind, by_cases, exact, and decide for proofs.Use the lean-no-mathlib skill to find a replacement for the ring tactic in Lean 4.
High-intent search queries and answers about installing and using this skill.
To replace the `ring` tactic in Lean 4 without Mathlib, use `grind` for general automation or `omega` for linear arithmetic goals in a core or Std environment.
The Std alternative to the `norm_num` tactic is `decide`, which evaluates and closes numerical goals computationally in Lean 4 core and Std environments.
You cannot use `push_neg` or `by_contra` in Lean 4 core environments, but you can use `by_cases` for case splitting and manual `simp` for negation handling.
To destructure goals without the `rcases` tactic in Lean 4, use the `obtain` tactic to extract hypotheses and split conjunctions in Std environments.
Lean 4 tactics clash with constructor names when keywords overlap; resolve this by wrapping conflicting names in guillemets to force the parser to treat them as identifiers.
Instead of `field_simp` for Lean 4 Std proofs, use manual `simp` calls with specific lemmas or apply `grind` to normalize and simplify algebraic expressions automatically.
fmhallProvide Lean 4 tactic alternatives for proofs without Mathlib.
frenzymathInspect Lean 4 proof goals and search mathlib via LSP diagnostics.
KaiserWhoLearnsStore and retrieve Lean 4 proof patterns and conventions via MCP memory server.
rainoftimeFormalize mathematics and verify programs using Lean 4.