interactive

Interactive theorem proving in Lean is facilitated by executing user-specified tactics one by one, allowing you to direct the proof process and modify the proof state sequentially. The Skill processes precise tactic commands to advance the proof.

Yes, visualizing the current Lean goal state is supported after applying each tactic. The Skill displays real-time goal updates to show exactly how your specific tactics affect the formalization and what remains to be proven.

The best way to debug a Lean formalization is to apply tactics individually and inspect the immediate feedback. By executing one tactic at a time, you can pinpoint exactly where the proof state diverges from your expectations.

Yes, you need to provide precise user commands to modify the Lean proof state. The Skill requires exact tactic inputs to execute the step-by-step formalization process correctly and display the immediate resulting goal state.

Yes, this interactive Lean tactic approach works specifically for educational workflows. It allows users learning Lean formalization to understand how specific tactics affect a proof by receiving immediate feedback on each action taken.

Your Lean proof state does not update because this Skill executes tactics one by one rather than processing multiple commands simultaneously. You must input each tactic individually to properly modify the proof state and view the immediate result.