Nuprl Lemma : int_iseg_wf
∀[i,j:ℤ]. ({i...j} ∈ Type)
Proof
Definitions occuring in Statement :
int_iseg: {i...j},
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
int_iseg: {i...j},
and: P ∧ Q,
prop: ℙ
Lemmas referenced :
le_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
setEquality,
intEquality,
productEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
Error :inhabitedIsType,
isect_memberEquality,
Error :universeIsType
Latex:
\mforall{}[i,j:\mBbbZ{}]. (\{i...j\} \mmember{} Type)
Date html generated:
2019_06_20-AM-11_33_17
Last ObjectModification:
2018_09_26-AM-11_48_23
Theory : int_1
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