BT0026

multiple_zero

Stable ยท empty-context checked

Zero is a multiple of every natural number.

Exact expanded PA statement

forall a. exists q. 0 = a * q

Structural proof guide

Zero is a multiple of every natural number.

Direct prerequisites: none. The authored body proceeds by equality transport (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.

  1. 0001intro a
  2. 0002exists 0
  3. 0003rewrite PA5
  4. 0004refl