Nuprl Lemma : eo-record-record-eq
∀r:eo_record{i:l}(). ∀r':record(x.eo-record-type{i:l}(r) x).
((r' = r ∈ record(x.eo-record-type{i:l}(r) x)) ⇒ (r' = r ∈ eo_record{i:l}()))
Proof
Definitions occuring in Statement :
eo-record-type: eo-record-type{i:l}(r),
eo_record: eo_record{i:l}(),
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
equal: s = t ∈ T,
record: record(x.T[x])
Lemmas :
equal_wf,
record_wf,
eo-record-type_wf,
eo-record-record,
eo_record_wf,
subtype_rel_self,
bool_wf,
Id_wf,
nat_wf,
eq_atom_wf,
eqtt_to_assert,
assert_of_eq_atom,
eqff_to_assert,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
top_wf,
uiff_transitivity,
equal-wf-base,
atom_subtype_base,
assert_wf,
iff_transitivity,
bnot_wf,
not_wf,
iff_weakening_uiff,
assert_of_bnot,
record-select_wf,
subtype_rel_wf,
subtype_rel_dep_function,
subtype_rel_weakening,
ext-eq_weakening
\mforall{}r:eo\_record\{i:l\}(). \mforall{}r':record(x.eo-record-type\{i:l\}(r) x). ((r' = r) {}\mRightarrow{} (r' = r))
Date html generated:
2015_07_17-AM-08_33_49
Last ObjectModification:
2015_01_27-PM-03_00_54
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