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Theorem max_exp-zero-02

⊦ prime(i) ∧ 0 < i0 → (max_exp(i, i0) = 0 ↔ ¬ i | i0)

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: max_exp-fac-add, max_exp-fac-rec, max_exp-fac-same, max_exp-fac-smaller, max_exp-mult-01, max_exp-one, max_exp-smaller,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas: max_exp-not-neg, max_exp-rec, max_exp-zero-01,
Used spec theorems:
- Used simplifier rules:
  - int-abs/forward-le-05
  - oelem/intlista/lel
  - int-abs/numadd-01
  - int-basic2/add-a
  - int-basic2/add-c