Nuprl Lemma : disjoint-union-class_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. (X + Y ∈ EClass(A + B))
Proof
Definitions occuring in Statement :
disjoint-union-class: X + Y,
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
union: left + right,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
disjoint-union-class: X + Y,
all: ∀x:A. B[x],
so_lambda: λ2x y.t[x; y],
subtype_rel: A ⊆r B,
so_apply: x[s1;s2]
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. (X + Y \mmember{} EClass(A + B))
Date html generated:
2016_05_17-AM-09_26_11
Last ObjectModification:
2015_12_29-PM-04_03_57
Theory : classrel!lemmas
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