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Theorem aligndown-def
0 ≠ m ⊦ align↓(n, m) = (n % m = 0 ⊃ n;n / m * m)
Type: An axiom
Validity: The proof is valid.
Features: ls, smt,
Comment:
Used by:
add-n-aligndown
,
align-down-add-eq
,
align-down-add-eq-add-ls
,
align-down-add-ls
,
align-down-add-to-align-up
,
align-down-ls-zero
,
aligndown-add-n
,
aligndown-add-n-alignup
,
aligndown-add-not-smaller
,
aligndown-add-same
,
aligndown-add-same0
,
aligndown-aligndown-add
,
aligndown-eq-add
,
aligndown-is-aligned
,
aligndown-is-aligned-add
,
aligndown-is-aligned0
,
aligndown-is-n
,
aligndown-is-smaller
,
aligndown-is-smaller-01
,
aligndown-is-zero
,
aligndown-le
,
aligndown-multiplier
,
aligndown-not-smaller
,
aligndown-plus-remainder
,
aligndown-remainder
,
aligndown-same
,
aligndown-same-equiv
,
aligndown-same0
,
aligndown-sub-add-sub
,
is-aligned-align-down
,
Used by units in proved state:
Proof exists?: No