Nuprl Lemma : es-joint-embedding_wf
∀[Info:Type]. ∀[eo1,eo2,eo:EO+(Info)]. ∀[f:E ⟶ E]. ∀[g:E ⟶ E]. (es-joint-embedding(Info;eo1;eo2;eo;f;g) ∈ ℙ)
Proof
Definitions occuring in Statement :
es-joint-embedding: es-joint-embedding(Info;eo1;eo2;eo;f;g),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-joint-embedding: es-joint-embedding(Info;eo1;eo2;eo;f;g),
prop: ℙ,
and: P ∧ Q,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
exists: ∃x:A. B[x],
or: P ∨ Q,
all: ∀x:A. B[x]
Latex:
\mforall{}[Info:Type]. \mforall{}[eo1,eo2,eo:EO+(Info)]. \mforall{}[f:E {}\mrightarrow{} E]. \mforall{}[g:E {}\mrightarrow{} E].
(es-joint-embedding(Info;eo1;eo2;eo;f;g) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-PM-01_23_54
Last ObjectModification:
2015_12_29-PM-02_00_53
Theory : event-ordering
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