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Theorem gcd-max

⊦ m ≠ 0 ∧ n0 | m ∧ n0 | n → n0 ≤ gcd(m, n)

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: gcd-a, gcd-zero-01, divi-ls, gcd-alldiv,
Used spec theorems:
- Used simplifier rules:
  - nat-basic1/f
  - nat/lels-01