Changes between Version 3 and Version 4 of TypeNats/Interact1


Ignore:
Timestamp:
Dec 15, 2010 6:08:38 PM (5 years ago)
Author:
diatchki
Comment:

--

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  • TypeNats/Interact1

    v3 v4  
    1212Top-level interactions for <=
    1313{{{
    14 m <= n   <=> {m <= n} = True
     14m <= n   <=> {m <= n}
    15150 <= a   <=> True
    1616a <= 0   <=> a ~ 0
     
    1919Top-level interactions for +.
    2020{{{
    21 (m + n ~ k) <=> {m + n} = k
     21(m + n ~ k) <=> {m + n} == k
    2222(m + a ~ n) <=> a ~ {n - m}    -- n >= m
    2323(a + m ~ n) <=> a ~ {n - m}    -- n >= m
     
    3232Top-level interactions for *.
    3333{{{
    34 (m * n ~ k) <=> {m * n} = k
     34(m * n ~ k) <=> {m * n} == k
    3535(m * a ~ n) <=> a ~ {n / m}     -- m `divides` n
    3636(a * m ~ n) <=> a ~ {n / m}     -- m `divides` n
     
    4545Top-level interactions for {{{^}}}
    4646{{{
    47 (m ^ n ~ k) <=> {m ^ n} = k
     47(m ^ n ~ k) <=> {m ^ n} == k
    4848(m ^ a ~ n) <=> a ~ {log m n}   -- log (base m) of n exists
    4949(a ^ m ~ n) <=> a ~ {root m n}  -- m-th root of n exists