Nuprl Lemma : es-prior-match_wf
∀[Info,A,B:Type]. ∀[R:A ─→ B ─→ 𝔹]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. (es-prior-match(R; X; Y) ∈ EClass(A × B))
Proof
Definitions occuring in Statement :
es-prior-match: es-prior-match(R; X; Y),
eclass: EClass(A[eo; e]),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
in-eclass_wf,
es-prior-val_wf,
top_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
bool_wf,
eqtt_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
eclass-val_wf,
single-bag_wf,
eqff_to_assert,
assert-bnot,
iff_transitivity,
assert_wf,
iff_weakening_uiff,
assert_of_band,
empty-bag_wf,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[R:A {}\mrightarrow{} B {}\mrightarrow{} \mBbbB{}]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)].
(es-prior-match(R; X; Y) \mmember{} EClass(A \mtimes{} B))
Date html generated:
2015_07_21-PM-03_49_29
Last ObjectModification:
2015_01_27-PM-06_01_52
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