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Theorem gcd-alldiv

⊦ n0 | m ∧ n0 | n → n0 | gcd(m, n)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by: gcd-a, gcd-div-02, gcd-id-01, gcd-max, gcd-trans, gcdnex,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 5
Used lemmas: gcd-id, gcd-c, gcd-alldiv-h,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/ls-03
  - nat/lels
  - nat/ler