Nuprl Lemma : ranked-eo-eq-E
∀[L,rk:Top]. ∀[a,b:Top × ℤ]. (a = b ~ fst(a) = fst(b) ∧b (snd(a) =z snd(b)))
Proof
Definitions occuring in Statement :
ranked-eo: ranked-eo(L;rk),
es-eq-E: e = e',
eq_id: a = b,
band: p ∧b q,
eq_int: (i =z j),
uall: ∀[x:A]. B[x],
top: Top,
pi1: fst(t),
pi2: snd(t),
product: x:A × B[x],
int: ℤ,
sqequal: s ~ t
Lemmas :
top_wf,
rec_select_update_lemma,
ranked-eo-loc,
subtype_base_sq,
bool_wf,
bool_subtype_base,
iff_imp_equal_bool,
bnot_wf,
lt_int_wf,
eqtt_to_assert,
equal_wf,
bool_cases_sqequal,
eqff_to_assert,
assert-bnot,
assert_of_lt_int,
less_than_wf,
eq_int_wf,
decidable__equal_int,
false_wf,
not-equal-2,
add_functionality_wrt_le,
add-associates,
add-commutes,
le-add-cancel,
add-swap,
not_wf,
less_than_transitivity1,
le_weakening,
less_than_irreflexivity,
equal-wf-base,
int_subtype_base,
iff_transitivity,
assert_wf,
iff_weakening_uiff,
assert_of_band,
assert_of_bnot,
assert_of_eq_int,
iff_wf
Latex:
\mforall{}[L,rk:Top]. \mforall{}[a,b:Top \mtimes{} \mBbbZ{}]. (a = b \msim{} fst(a) = fst(b) \mwedge{}\msubb{} (snd(a) =\msubz{} snd(b)))
Date html generated:
2015_07_21-PM-04_44_09
Last ObjectModification:
2015_01_27-PM-05_01_34
Home
Index