Nuprl Lemma : max-WO_wf
max-WO{i:l}() ∈ WFO{i':l}
Proof
Definitions occuring in Statement :
max-WO: max-WO{i:l}(),
WFO: WFO{i:l}(),
member: t ∈ T
Definitions unfolded in proof :
max-WO: max-WO{i:l}(),
WFO: WFO{i:l}(),
member: t ∈ T,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
WFO_wf,
order-type-less_wf,
DCC-order-type_wf,
DCC_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
dependent_pairEquality,
cut,
lemma_by_obid,
hypothesis,
thin,
instantiate,
sqequalHypSubstitution,
isectElimination,
hypothesisEquality,
productEquality,
functionEquality,
cumulativity,
universeEquality
Latex:
max-WO\{i:l\}() \mmember{} WFO\{i':l\}
Date html generated:
2016_05_15-PM-04_15_23
Last ObjectModification:
2015_12_27-PM-02_58_26
Theory : general
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