Nuprl Lemma : imax_wf
∀[a,b:ℤ]. (imax(a;b) ∈ ℤ)
Proof
Definitions occuring in Statement :
imax: imax(a;b),
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
imax: imax(a;b),
has-value: (a)↓,
uimplies: b supposing a
Lemmas referenced :
le_int_wf,
ifthenelse_wf,
int-value-type,
value-type-has-value
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
callbyvalueReduce,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
intEquality,
independent_isectElimination,
hypothesis,
hypothesisEquality,
because_Cache,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality
Latex:
\mforall{}[a,b:\mBbbZ{}]. (imax(a;b) \mmember{} \mBbbZ{})
Date html generated:
2016_05_13-PM-04_01_44
Last ObjectModification:
2016_01_20-PM-05_59_48
Theory : bool_1
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