Nuprl Lemma : simple-comb-1-single-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[F:A ⟶ B]. ∀[X:EClass(A)].
single-valued-classrel(es;lifting-1(F)|X|;B) supposing single-valued-classrel(es;X;A)
Proof
Definitions occuring in Statement :
simple-comb-1: F|X|,
single-valued-classrel: single-valued-classrel(es;X;T),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
function: x:A ⟶ B[x],
universe: Type,
lifting-1: lifting-1(f)
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:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[F:A {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
single-valued-classrel(es;lifting-1(F)|X|;B) supposing single-valued-classrel(es;X;A)
Date html generated:
2016_05_17-AM-09_29_39
Last ObjectModification:
2015_12_29-PM-04_01_16
Theory : classrel!lemmas
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