Nuprl Lemma : list-strict_wf
∀[F:Base]. (list-strict(F) ∈ ℙ)
Proof
Definitions occuring in Statement :
list-strict: list-strict(F),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
list-strict: list-strict(F),
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
so_apply: x[s],
all: ∀x:A. B[x],
or: P ∨ Q,
exists: ∃x:A. B[x]
Lemmas referenced :
strict_wf,
exists_wf,
sqequal-wf-base,
or_wf,
has-value_wf_base,
base_wf,
all_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
productEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesis,
lambdaEquality,
functionEquality,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
because_Cache,
dependent_functionElimination,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[F:Base]. (list-strict(F) \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-10_07_47
Last ObjectModification:
2016_01_16-PM-04_08_18
Theory : eval!all
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