Nuprl Lemma : poset_wf
POSet{i} ∈ 𝕌'
Proof
Definitions occuring in Statement :
poset: POSet{i},
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
poset: POSet{i},
member: t ∈ T,
uall: ∀[x:A]. B[x],
qoset: QOSet,
dset: DSet,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
prop: ℙ
Lemmas referenced :
qoset_wf,
uanti_sym_wf,
set_car_wf,
set_leq_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
setEquality,
cut,
lemma_by_obid,
hypothesis,
cumulativity,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
hypothesisEquality,
sqequalRule,
lambdaEquality
Latex:
POSet\{i\} \mmember{} \mBbbU{}'
Date html generated:
2016_05_15-PM-00_05_00
Last ObjectModification:
2015_12_26-PM-11_27_58
Theory : sets_1
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