Nuprl Lemma : C_DVALUEp_size_wf
∀[p:C_DVALUEp()]. (C_DVALUEp_size(p) ∈ ℕ)
Proof
Definitions occuring in Statement :
C_DVALUEp_size: C_DVALUEp_size(p),
C_DVALUEp: C_DVALUEp(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
C_DVALUEp_size: C_DVALUEp_size(p),
C_DVALUEpco_size: C_DVALUEpco_size(p),
C_DVALUEp: C_DVALUEp(),
uimplies: b supposing a,
nat: ℕ,
so_lambda: λ2x.t[x],
so_apply: x[s]
Lemmas referenced :
termination,
nat_wf,
set-value-type,
le_wf,
int-value-type,
C_DVALUEpco_size_wf,
C_DVALUEp_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
cut,
sqequalRule,
sqequalHypSubstitution,
setElimination,
thin,
rename,
lemma_by_obid,
isectElimination,
hypothesis,
independent_isectElimination,
intEquality,
lambdaEquality,
natural_numberEquality,
hypothesisEquality
Latex:
\mforall{}[p:C\_DVALUEp()]. (C\_DVALUEp\_size(p) \mmember{} \mBbbN{})
Date html generated:
2016_05_16-AM-08_49_02
Last ObjectModification:
2015_12_28-PM-06_55_57
Theory : C-semantics
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