Nuprl Lemma : injectively-presentable_wf
∀[a:Set{i:l}]. (InjectivelyPresentable(a) ∈ ℙ')
Proof
Definitions occuring in Statement :
injectively-presentable: InjectivelyPresentable(a),
Set: Set{i:l},
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
so_apply: x[s],
and: P ∧ Q,
prop: ℙ,
so_lambda: λ2x.t[x],
injectively-presentable: InjectivelyPresentable(a),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
seteq_wf,
injectively-presented_wf,
Set_wf,
exists_wf
Rules used in proof :
equalitySymmetry,
equalityTransitivity,
axiomEquality,
cumulativity,
hypothesisEquality,
productEquality,
lambdaEquality,
hypothesis,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
instantiate,
thin,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[a:Set\{i:l\}]. (InjectivelyPresentable(a) \mmember{} \mBbbP{}')
Date html generated:
2018_05_29-PM-01_55_22
Last ObjectModification:
2018_05_24-PM-10_13_19
Theory : constructive!set!theory
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