Nuprl Lemma : disjoint-classrel-symm
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[es:EO+(Info)].
(disjoint-classrel(es;B;Y;A;X) ⇒ disjoint-classrel(es;A;X;B;Y))
Proof
Definitions occuring in Statement :
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
disjoint-classrel: disjoint-classrel(es;A;X;B;Y),
all: ∀x:A. B[x],
member: t ∈ T,
or: P ∨ Q,
guard: {T},
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[es:EO+(Info)].
(disjoint-classrel(es;B;Y;A;X) {}\mRightarrow{} disjoint-classrel(es;A;X;B;Y))
Date html generated:
2016_05_16-PM-01_40_45
Last ObjectModification:
2015_12_29-PM-02_09_26
Theory : event-ordering
Home
Index