Nuprl Lemma : add-graph-decls_wf
∀[dd:DeclSet]. ∀[G:Graph(|dd|)]. ∀[T:Type]. ∀[a:Id ⟶ Id ⟶ Id]. ∀[b:Id]. (add-graph-decls(dd;G;T;a;b) ∈ DeclSet)
Proof
Definitions occuring in Statement :
add-graph-decls: add-graph-decls(dd;G;T;a;b),
es-decl-set-domain: |dd|,
es-decl-set: DeclSet,
id-graph: Graph(S),
Id: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
es-decl-set: DeclSet,
add-graph-decls: add-graph-decls(dd;G;T;a;b),
es-decl-set-domain: |dd|,
pi1: fst(t),
spreadn: spread3,
all: ∀x:A. B[x],
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a
Latex:
\mforall{}[dd:DeclSet]. \mforall{}[G:Graph(|dd|)]. \mforall{}[T:Type]. \mforall{}[a:Id {}\mrightarrow{} Id {}\mrightarrow{} Id]. \mforall{}[b:Id].
(add-graph-decls(dd;G;T;a;b) \mmember{} DeclSet)
Date html generated:
2016_05_16-PM-00_58_53
Last ObjectModification:
2015_12_29-PM-01_43_17
Theory : event-ordering
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