Nuprl Lemma : MMTree_size_wf
∀[T:Type]. ∀[p:MMTree(T)].  (MMTree_size(p) ∈ ℕ)
Proof
Definitions occuring in Statement : 
MMTree_size: MMTree_size(p)
, 
MMTree: MMTree(T)
, 
nat: ℕ
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
MMTree_size: MMTree_size(p)
, 
MMTreeco_size: MMTreeco_size(p)
, 
MMTree: MMTree(T)
, 
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, 
MMTreeco_size_wf, 
MMTree_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, 
universeEquality
Latex:
\mforall{}[T:Type].  \mforall{}[p:MMTree(T)].    (MMTree\_size(p)  \mmember{}  \mBbbN{})
Date html generated:
2016_05_16-AM-08_54_41
Last ObjectModification:
2015_12_28-PM-06_53_16
Theory : C-semantics
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