Nuprl Lemma : term_size_mkterm_lemma
∀bts,opr:Top.  (term-size(mkterm(opr;bts)) ~ 1 + Σ(term-size(snd(bt)) | bt ∈ bts))
Proof
Definitions occuring in Statement : 
term-size: term-size(t)
, 
mkterm: mkterm(opr;bts)
, 
lsum: Σ(f[x] | x ∈ L)
, 
top: Top
, 
pi2: snd(t)
, 
all: ∀x:A. B[x]
, 
add: n + m
, 
natural_number: $n
, 
sqequal: s ~ t
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
term-size: term-size(t)
, 
mkterm: mkterm(opr;bts)
, 
coterm-size: coterm-size(t)
, 
member: t ∈ T
Lemmas referenced : 
istype-top
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
lambdaFormation_alt, 
cut, 
sqequalRule, 
hypothesis, 
inhabitedIsType, 
hypothesisEquality, 
introduction, 
extract_by_obid
Latex:
\mforall{}bts,opr:Top.    (term-size(mkterm(opr;bts))  \msim{}  1  +  \mSigma{}(term-size(snd(bt))  |  bt  \mmember{}  bts))
Date html generated:
2020_05_19-PM-09_53_48
Last ObjectModification:
2020_03_09-PM-04_08_21
Theory : terms
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