Nuprl Lemma : injectively-presented-emptyset
InjectivelyPresented({})
Proof
Definitions occuring in Statement :
injectively-presented: InjectivelyPresented(s)
,
emptyset: {}
Definitions unfolded in proof :
prop: ℙ
,
member: t ∈ T
,
implies: P
⇒ Q
,
all: ∀x:A. B[x]
,
pi1: fst(t)
,
inject: Inj(A;B;f)
,
set-dom: set-dom(s)
,
mkset: {f[t] | t ∈ T}
,
injectively-presented: InjectivelyPresented(s)
,
emptyset: {}
Rules used in proof :
voidEquality,
voidElimination,
lambdaFormation,
sqequalRule,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
InjectivelyPresented(\{\})
Date html generated:
2018_05_29-PM-01_55_13
Last ObjectModification:
2018_05_24-PM-10_06_58
Theory : constructive!set!theory
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