Nuprl Lemma : image-type_wf
∀[A:Type]. ∀[f:Base]. (Image(A,f) ∈ Type)
Proof
Definitions occuring in Statement :
uall: ∀[x:A]. B[x],
image-type: Image(T,f),
member: t ∈ T,
base: Base,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas referenced :
image-type_wf,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[A:Type]. \mforall{}[f:Base]. (Image(A,f) \mmember{} Type)
Date html generated:
2019_06_20-AM-11_18_22
Last ObjectModification:
2018_08_03-PM-05_29_25
Theory : core_2
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