Nuprl Lemma : injectively-presented_wf
∀[s:Set{i:l}]. (InjectivelyPresented(s) ∈ ℙ')
Proof
Definitions occuring in Statement :
injectively-presented: InjectivelyPresented(s),
Set: Set{i:l},
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
injectively-presented: InjectivelyPresented(s),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
set-item_wf,
Set_wf,
set-dom_wf,
inject_wf
Rules used in proof :
equalitySymmetry,
equalityTransitivity,
axiomEquality,
lambdaEquality,
hypothesis,
hypothesisEquality,
cumulativity,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
instantiate,
thin,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[s:Set\{i:l\}]. (InjectivelyPresented(s) \mmember{} \mBbbP{}')
Date html generated:
2018_05_29-PM-01_55_10
Last ObjectModification:
2018_05_24-PM-09_55_29
Theory : constructive!set!theory
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