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View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Theorem divides

⊦ i | j ↔ (∃ i0. i * i0 = j)

Type: An axiom
Validity: The proof is valid.
Features: nokodkodax,
Comment:
Used by: coprime-pot, div-abs, div-abs-01, div-abs-02, div-abs-04, div-div, div-div-01, div-eq, div-eq-one, div-mod-01, div-mod-zero, div-mult, div-mult-div, div-mult-shift, div-neg, div-not-ls, div-one, div-one-one, div-one-one-neg, div-zero, div-zero-01, div-zero-zero, divides-abs-01, divides-abs-02, divides-add, divides-mod, divides-mone, divides-mult, divides-mult-01, divides-mult-02, divides-neg, divides-prime, exgcd-div, gcd-div-gcd-pos, gcd-div-rest, gcd-max-prop, gcd-mod-one, gcd-rec, isSquare-mult-aux, max_prime_divisor-divides-02, max_prime_divisor-divides-03, max_prime_divisor-ge2, max_prime_divisor-nls-02, max_prime_divisor-nls-03, mod-gcd, mod-gcd-01, mod-square-10, prime-def-mod, prime-def-prime, prime-divides-01, square-neq-any-pos-02, square-neq-pos-h, square-prime-eq,
Used by units in proved state:
Proof exists?: No