Nuprl Lemma : formula_size_wf
∀[p:formula()]. (formula_size(p) ∈ ℕ)
Proof
Definitions occuring in Statement :
formula_size: formula_size(p),
formula: formula(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
formula_size: formula_size(p),
formulaco_size: formulaco_size(p),
formula: formula(),
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,
formulaco_size_wf,
formula_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:formula()]. (formula\_size(p) \mmember{} \mBbbN{})
Date html generated:
2016_05_15-PM-07_02_33
Last ObjectModification:
2015_12_27-AM-11_36_44
Theory : general
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