lean-no-mathlib

To prove theorems in Lean 4 without Mathlib, you can use manual proof techniques and core Lean 4 functionality as alternatives to Mathlib-specific tactics. This approach is ideal for projects needing to avoid Mathlib dependencies.

The best Lean 4 tactic alternatives for `ring`, `field_simp`, and `norm_num` involve manual proof techniques and workarounds using core Lean 4 and Std functionality. These replacements ensure reliable proof development without Mathlib.

Yes, you can use core Lean 4 and Std functionality to replace Mathlib tactics. This Skill provides specific tactic alternatives and manual proof techniques for proof development workflows that need to avoid Mathlib.

Your Lean 4 proof fails without Mathlib because tactics like `ring` and `norm_num` are Mathlib-specific. You need manual proof techniques and core Lean 4 tactic alternatives to solve problems when Mathlib is not available.

You need to use manual proof techniques in Lean 4 when your project requires proof development without Mathlib. This approach provides workarounds and tactic alternatives for reliable proving in environments avoiding Mathlib dependencies.