Nuprl Lemma : AC_1_0_wf
AC_1_0{i:l}() ∈ ℙ'
Proof
Definitions occuring in Statement :
AC_1_0: AC_1_0{i:l}(),
prop: ℙ,
member: t ∈ T
Definitions unfolded in proof :
AC_1_0: AC_1_0{i:l}(),
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
prop: ℙ,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
so_apply: x[s]
Lemmas referenced :
all_wf,
nat_wf,
squash_wf,
exists_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
instantiate,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
functionEquality,
hypothesis,
applyEquality,
lambdaEquality,
cumulativity,
hypothesisEquality,
universeEquality,
because_Cache
Latex:
AC\_1\_0\{i:l\}() \mmember{} \mBbbP{}'
Date html generated:
2016_05_14-PM-04_15_38
Last ObjectModification:
2015_12_26-PM-07_53_52
Theory : fan-theorem
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