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Theorem gcd-le-both

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

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 6
Proof steps: 8
Used lemmas: gcd-c, gcd-a, gcd-id, gcd-le-both-h,
Used spec theorems:
- Used simplifier rules:
  - nat/lels
  - nat/ler
  - nat-basic1/f
  - nat/lels-02