Nuprl Rule : addMonotonic
H ⊢ if (a + c) < (b + c) then True else False
BY addMonotonic ()
H ⊢ if (a) < (b) then True else False
H ⊢ a ∈ ℤ
H ⊢ b ∈ ℤ
H ⊢ c ∈ ℤ
Definitions occuring in rule :
add: n + m,
less: if (a) < (b) then c else d,
true: True,
false: False,
member: t ∈ T,
int: ℤ,
axiom: Ax
Latex:
H \mvdash{} if (a + c) < (b + c) then True else False
BY addMonotonic ()
H \mvdash{} if (a) < (b) then True else False
H \mvdash{} a \mmember{} \mBbbZ{}
H \mvdash{} b \mmember{} \mBbbZ{}
H \mvdash{} c \mmember{} \mBbbZ{}
Date html generated:
2019_06_20-PM-04_12_29
Last ObjectModification:
2018_09_10-AM-11_37_51
Theory : rules
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