Nuprl Rule : lessDiscrete
H ⊢ (1 + a) = b ∈ ℤ
BY lessDiscrete ()
H ⊢ if (a) < (b) then True else False
H ⊢ if (1 + a) < (b) then False else True
H ⊢ a ∈ ℤ
H ⊢ b ∈ ℤ
Definitions occuring in rule :
equal: s = t ∈ T,
less: if (a) < (b) then c else d,
add: n + m,
natural_number: $n,
false: False,
true: True,
member: t ∈ T,
int: ℤ,
axiom: Ax
Latex:
H \mvdash{} (1 + a) = b
BY lessDiscrete ()
H \mvdash{} if (a) < (b) then True else False
H \mvdash{} if (1 + a) < (b) then False else True
H \mvdash{} a \mmember{} \mBbbZ{}
H \mvdash{} b \mmember{} \mBbbZ{}
Date html generated:
2019_06_20-PM-04_12_24
Last ObjectModification:
2018_09_10-PM-03_39_36
Theory : rules
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