Nuprl Lemma : es-interface-predecessors-member2
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀e:E(X). (e ∈ ≤(X)(e))
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
Id: Id,
l_member: (x ∈ l),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
l_member: (x ∈ l),
exists: ∃x:A. B[x],
cand: A c∧ B,
subtype_rel: A ⊆r B,
es-E-interface: E(X),
prop: ℙ,
nat: ℕ,
uimplies: b supposing a,
ge: i ≥ j ,
decidable: Dec(P),
or: P ∨ Q,
satisfiable_int_formula: satisfiable_int_formula(fmla),
false: False,
implies: P ⇒ Q,
not: ¬A,
top: Top,
and: P ∧ Q,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E(X). (e \mmember{} \mleq{}(X)(e))
Date html generated:
2016_05_16-PM-11_02_51
Last ObjectModification:
2016_01_17-PM-07_14_55
Theory : event-ordering
Home
Index