Nuprl Lemma : CLK_Clock-functional
∀[MsgType:ValueAllType]. ∀[f:CLK_headers_type{i:l}(MsgType)]. ∀[es:EO+(Message(f))]. CLK_Clock(MsgType;f) is functional
Proof
Definitions occuring in Statement :
CLK_Clock: CLK_Clock(MsgType;f),
CLK_headers_type: CLK_headers_type{i:l}(MsgType),
Message: Message(f),
es-functional-class: X is functional,
event-ordering+: EO+(Info),
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
int: ℤ
Definitions unfolded in proof :
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
CLK_headers_type: CLK_headers_type{i:l}(MsgType),
l_all: (∀x∈L.P[x]),
all: ∀x:A. B[x],
and: P ∧ Q,
member: t ∈ T,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
prop: ℙ,
so_apply: x[s],
iff: P ⇐⇒ Q,
implies: P ⇒ Q,
listp: A List+,
name: Name,
CLK_headers: CLK_headers(),
rev_implies: P ⇐ Q,
or: P ∨ Q,
uimplies: b supposing a,
guard: {T},
CLK_headers_fun: CLK_headers_fun(MsgType),
name_eq: name_eq(x;y),
name-deq: NameDeq,
list-deq: list-deq(eq),
list_ind: list_ind,
cons: [a / b],
band: p ∧b q,
ifthenelse: if b then t else f fi ,
atom-deq: AtomDeq,
eq_atom: x =a y,
btrue: tt,
nil: [],
it: ⋅,
null: null(as),
CLK_Clock: CLK_Clock(MsgType;f),
state-class1: state-class1(init;tr;X),
top: Top,
le: A ≤ B,
less_than': less_than'(a;b),
false: False,
not: ¬A,
CLK_msg'base: CLK_msg'base(MsgType;f),
encodes-msg-type: hdr encodes T,
es-functional-class: X is functional,
single-valued-classrel: single-valued-classrel(es;X;T),
es-total-class: es-total-class(es;X),
nat: ℕ
Latex:
\mforall{}[MsgType:ValueAllType]. \mforall{}[f:CLK\_headers\_type\{i:l\}(MsgType)]. \mforall{}[es:EO+(Message(f))].
CLK\_Clock(MsgType;f) is functional
Date html generated:
2016_05_17-PM-02_44_31
Last ObjectModification:
2015_12_29-PM-10_18_54
Theory : lamport!s!clocks
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