Nuprl Lemma : msgs-interface-with-omissions-sub_wf
∀[f:Name ⟶ Type]
∀X:EClass(Interface). ∀failures:ℤ. ∀ids:bag(Id). (msgs-interface-with-omissions-sub{i:l}(X;failures;ids;f) ∈ ℙ')
Proof
Definitions occuring in Statement :
msgs-interface-with-omissions-sub: msgs-interface-with-omissions-sub{i:l}(X;failures;ids;f),
msg-interface: Interface,
Message: Message(f),
eclass: EClass(A[eo; e]),
Id: Id,
name: Name,
uall: ∀[x:A]. B[x],
prop: ℙ,
all: ∀x:A. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
int: ℤ,
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
msgs-interface-with-omissions-sub: msgs-interface-with-omissions-sub{i:l}(X;failures;ids;f),
so_lambda: λ2x.t[x],
prop: ℙ,
and: P ∧ Q,
subtype_rel: A ⊆r B,
implies: P ⇒ Q,
so_apply: x[s],
exists: ∃x:A. B[x],
label: ...$L... t
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]
\mforall{}X:EClass(Interface). \mforall{}failures:\mBbbZ{}. \mforall{}ids:bag(Id).
(msgs-interface-with-omissions-sub\{i:l\}(X;failures;ids;f) \mmember{} \mBbbP{}')
Date html generated:
2016_05_17-AM-09_01_22
Last ObjectModification:
2015_12_29-PM-02_51_24
Theory : messages
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