BT0011

ne_zero_of_one_le

Stable ยท empty-context checked

A natural at least one is nonzero.

Exact expanded PA statement

forall n. 1 <= n -> ~(n = 0)

Structural proof guide

A natural at least one is nonzero.

Direct prerequisites: none. The authored body proceeds by case analysis (1), equality transport (2).

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 n
  2. 0002intro h
  3. 0003intro hn
  4. 0004cases h
  5. 0005rewrite hn at h_witness
  6. 0006apply PA1
  7. 0007rewrite PA4 at h_witness
  8. 0008exact h_witness