Nuprl Lemma : max-fst-class_wf
∀[Info,A,T:Type]. ∀[X:EClass(T × A)]. (MaxFst(X) ∈ EClass(T × A)) supposing T ⊆r ℤ
Proof
Definitions occuring in Statement :
max-fst-class: MaxFst(X),
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
int: ℤ,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
max-fst-class: MaxFst(X),
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
so_apply: x[s],
all: ∀x:A. B[x],
top: Top,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,T:Type]. \mforall{}[X:EClass(T \mtimes{} A)]. (MaxFst(X) \mmember{} EClass(T \mtimes{} A)) supposing T \msubseteq{}r \mBbbZ{}
Date html generated:
2016_05_16-PM-11_11_23
Last ObjectModification:
2015_12_29-AM-10_33_15
Theory : event-ordering
Home
Index