Nuprl Lemma : ndiff_wf
∀[a,b:ℤ]. (a -- b ∈ ℤ)
Proof
Definitions occuring in Statement :
ndiff: a -- b,
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ndiff: a -- b
Lemmas referenced :
imax_wf,
subtract_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
natural_numberEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
intEquality,
Error :universeIsType
Latex:
\mforall{}[a,b:\mBbbZ{}]. (a -- b \mmember{} \mBbbZ{})
Date html generated:
2019_06_20-PM-01_13_54
Last ObjectModification:
2018_09_26-PM-02_32_19
Theory : int_2
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