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Theorem gcd-a

⊦ gcd(m, gcd(n, n0)) = gcd(gcd(m, n), n0)

Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by: gcd-add, gcd-addrev, gcd-conq-one, gcd-id-01, gcd-le, gcd-le-both, gcd-le-both-h, gcd-max, gcd-mod-one-01, gcd-mult, gcd-one, gcd-sym-eq, gcd-trans, gcd-twice, gcd-twicerev, gcd-two, gcd-zero-01, gcd-zero-01-h, gcd-zero-02, gcdexh, gcdnex,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 15
Proof steps: 17
Used lemmas: gcd-div-03, gcd-c, gcd-div-02, gcd-alldiv, divi-eq,
Used spec theorems:
- Used simplifier rules: