Nuprl Lemma : max-WFTO_wf
max-WFTO{i:l}() ∈ WFTRO{i':l}
Proof
Definitions occuring in Statement :
max-WFTO: max-WFTO{i:l}(),
WFTRO: WFTRO{i:l}(),
member: t ∈ T
Definitions unfolded in proof :
max-WFTO: max-WFTO{i:l}(),
WFTRO: WFTRO{i:l}(),
member: t ∈ T,
infix_ap: x f y,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Lemmas referenced :
WFO_wf,
order-type-less_wf,
DCC-order-type_wf,
ot-less-trans_wf,
DCC_wf,
trans_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
dependent_pairEquality,
cut,
lemma_by_obid,
hypothesis,
independent_pairEquality,
sqequalRule,
sqequalHypSubstitution,
productEquality,
thin,
instantiate,
isectElimination,
hypothesisEquality,
lambdaEquality,
applyEquality,
functionEquality,
cumulativity,
universeEquality
Latex:
max-WFTO\{i:l\}() \mmember{} WFTRO\{i':l\}
Date html generated:
2016_05_15-PM-04_15_36
Last ObjectModification:
2015_12_27-PM-02_57_55
Theory : general
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