Exact expanded PA statement
forall n. exists k. n = 2 * k \/ n = 2 * k + 1Structural proof guide
Every natural has a constructive even-or-odd witness.
Direct prerequisites: none. The authored body proceeds by structural induction (1), case analysis (2), equality transport (2), closed numeral normalization (1).
Proof neighborhood
Direct dependencies
none
Direct dependents
Formal native tactic body
Dependencies are hypotheses of this body receipt. The focused endpoint audits separately check the complete empty-context certificates.