Nuprl Rule : remainderBounds1
H ⊢ if (a rem b) < (b) then True else False
BY remainderBounds1 ()
H ⊢ if (0) < (a) then True else False
H ⊢ if (0) < (b) then True else False
H ⊢ a ∈ ℤ
H ⊢ b ∈ ℤ
Definitions occuring in rule :
remainder: n rem m,
less: if (a) < (b) then c else d,
natural_number: $n,
true: True,
false: False,
member: t ∈ T,
int: ℤ,
axiom: Ax
Latex:
H \mvdash{} if (a rem b) < (b) then True else False
BY remainderBounds1 ()
H \mvdash{} if (0) < (a) then True else False
H \mvdash{} if (0) < (b) then True else False
H \mvdash{} a \mmember{} \mBbbZ{}
H \mvdash{} b \mmember{} \mBbbZ{}
Date html generated:
2019_06_20-PM-04_12_23
Last ObjectModification:
2018_08_20-AM-11_34_05
Theory : rules
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