Nuprl Lemma : is-list-if-has-value-rec_wf
∀[t:Base]. (is-list-if-has-value-rec(t) ∈ ℙ)
Proof
Definitions occuring in Statement :
is-list-if-has-value-rec: is-list-if-has-value-rec(t),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
is-list-if-has-value-rec: is-list-if-has-value-rec(t),
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
base_wf,
nat_wf,
is-list-if-has-value-fun_wf,
isect_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalHypSubstitution,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
lemma_by_obid,
isectElimination,
thin,
hypothesisEquality,
lambdaEquality
Latex:
\mforall{}[t:Base]. (is-list-if-has-value-rec(t) \mmember{} \mBbbP{})
Date html generated:
2016_05_15-PM-10_08_39
Last ObjectModification:
2015_12_27-PM-06_00_02
Theory : eval!all
Home
Index