Exact expanded PA statement
forall a. exists q. 0 = a * qStructural proof guide
Generated structural guide
Zero is a multiple of every natural number.
This root lemma is proved directly from the PA rules and the hypotheses introduced by its statement.
The proof proceeds by equality transport (1).
Referenced ingredients
none
Proof neighborhood
Direct dependencies
none
Direct dependents
Formal native tactic body
Dependencies are introduced as named hypotheses before line 1. Linked names are exact direct references. This Stable checked-use theorem is independently kernel-checked when replayed.