Nuprl Lemma : picomm_wf
∀[pre:pi_prefix()]. ∀[body:pi_term()]. (picomm(pre;body) ∈ pi_term())
Proof
Definitions occuring in Statement :
picomm: picomm(pre;body),
pi_term: pi_term(),
pi_prefix: pi_prefix(),
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pi_term: pi_term(),
picomm: picomm(pre;body),
eq_atom: x =a y,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
exists: ∃x:A. B[x],
prop: ℙ,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
bnot: ¬bb,
assert: ↑b,
false: False,
subtype_rel: A ⊆r B,
ext-eq: A ≡ B,
pi_termco_size: pi_termco_size(p),
pi_term_size: pi_term_size(p),
nat: ℕ,
le: A ≤ B,
less_than': less_than'(a;b),
not: ¬A,
so_lambda: λ2x.t[x],
so_apply: x[s]
Latex:
\mforall{}[pre:pi\_prefix()]. \mforall{}[body:pi\_term()]. (picomm(pre;body) \mmember{} pi\_term())
Date html generated:
2016_05_17-AM-11_21_01
Last ObjectModification:
2015_12_29-PM-06_58_34
Theory : event-logic-applications
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