Exact expanded PA statement
forall n. (exists a. n = 2 * a + 1) -> exists b. S n = 2 * bStructural proof guide
Generated structural guide
The successor of an odd natural is even.
This root lemma is proved directly from the PA rules and the hypotheses introduced by its statement.
The proof proceeds by case analysis (1), equality transport (1), certified simplification (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.