Nuprl Lemma : classfun-res-member-base
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[e:E]. ∀[hdr:Name]. Base(hdr)@e ~ msgval(e) supposing ↑e ∈b Base(hdr)
Proof
Definitions occuring in Statement :
base-headers-msg-val: Base(hdr),
es-info-body: msgval(e),
Message: Message(f),
classfun-res: X@e,
member-eclass: e ∈b X,
event-ordering+: EO+(Info),
es-E: E,
name: Name,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
prop: ℙ
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[e:E]. \mforall{}[hdr:Name].
Base(hdr)@e \msim{} msgval(e) supposing \muparrow{}e \mmember{}\msubb{} Base(hdr)
Date html generated:
2016_05_17-AM-11_15_46
Last ObjectModification:
2015_12_29-PM-05_11_56
Theory : process-model
Home
Index