Nuprl Lemma : eclass1-single-val
∀[Info,B,C:Type]. ∀[X:EClass(B)]. ∀[f:Id ⟶ B ⟶ C]. ∀[es:EO+(Info)].
single-valued-classrel(es;(f o X);C) supposing single-valued-classrel(es;X;B)
Proof
Definitions occuring in Statement :
eclass1: (f o X),
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
single-valued-classrel: single-valued-classrel(es;X;T),
all: ∀x:A. B[x],
implies: P ⇒ Q,
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
squash: ↓T,
exists: ∃x:A. B[x],
prop: ℙ,
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,B,C:Type]. \mforall{}[X:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} B {}\mrightarrow{} C]. \mforall{}[es:EO+(Info)].
single-valued-classrel(es;(f o X);C) supposing single-valued-classrel(es;X;B)
Date html generated:
2016_05_16-PM-02_10_30
Last ObjectModification:
2015_12_29-PM-02_29_06
Theory : event-ordering
Home
Index