Nuprl Lemma : es-interface-image-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[f:Top]. ∀[Ia:EClass(A)]. ∀[e:E]. f'Ia(e) ~ f Ia(e) supposing ↑e ∈b Ia
Proof
Definitions occuring in Statement :
es-interface-image: f'Ia,
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
all: ∀x:A. B[x],
top: Top,
eclass-val: X(e),
es-interface-image: f'Ia,
in-eclass: e ∈b X,
eclass-compose1: f o X,
eclass: EClass(A[eo; e]),
implies: P ⇒ Q,
nat: ℕ,
uiff: uiff(P;Q),
and: P ∧ Q
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:Top]. \mforall{}[Ia:EClass(A)]. \mforall{}[e:E].
f'Ia(e) \msim{} f Ia(e) supposing \muparrow{}e \mmember{}\msubb{} Ia
Date html generated:
2016_05_16-PM-10_26_32
Last ObjectModification:
2015_12_29-AM-11_08_13
Theory : event-ordering
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