Nuprl Lemma : prefix-match_wf
∀[p1,p2:pi_prefix()]. (prefix-match(p1;p2) ∈ 𝔹)
Proof
Definitions occuring in Statement :
prefix-match: prefix-match(p1;p2),
pi_prefix: pi_prefix(),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
prefix-match: prefix-match(p1;p2),
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff,
top: Top,
iff: P ⇐⇒ Q,
prop: ℙ,
rev_implies: P ⇐ Q,
assert: ↑b,
false: False,
bnot: ¬bb
Latex:
\mforall{}[p1,p2:pi\_prefix()]. (prefix-match(p1;p2) \mmember{} \mBbbB{})
Date html generated:
2016_05_17-AM-11_22_55
Last ObjectModification:
2015_12_29-PM-06_54_36
Theory : event-logic-applications
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