Nuprl Lemma : list-monad_wf
ListMonad ∈ Monad
Proof
Definitions occuring in Statement :
list-monad: ListMonad,
monad: Monad,
member: t ∈ T
Definitions unfolded in proof :
list-monad: ListMonad,
member: t ∈ T,
uall: ∀[x:A]. B[x],
subtype_rel: A ⊆r B,
uimplies: b supposing a,
all: ∀x:A. B[x],
top: Top,
so_lambda: λ2x.t[x],
so_apply: x[s],
squash: ↓T,
prop: ℙ,
implies: P ⇒ Q,
true: True,
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q
Lemmas referenced :
mk_monad_wf,
list_wf,
cons_wf_listp,
nil_wf,
concat_wf,
map_wf,
map_cons_lemma,
map_nil_lemma,
concat-single,
subtype_rel_list,
top_wf,
concat-map-assoc,
concat-map-single,
equal_wf,
squash_wf,
true_wf,
trivial_map,
l_member_wf,
iff_weakening_equal
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
cut,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
lambdaEquality,
cumulativity,
hypothesisEquality,
hypothesis,
universeEquality,
isect_memberEquality,
because_Cache,
applyEquality,
functionExtensionality,
functionEquality,
independent_isectElimination,
isect_memberFormation,
lambdaFormation,
dependent_functionElimination,
voidElimination,
voidEquality,
axiomEquality,
imageElimination,
equalityTransitivity,
equalitySymmetry,
natural_numberEquality,
imageMemberEquality,
baseClosed,
productElimination,
independent_functionElimination
Latex:
ListMonad \mmember{} Monad
Date html generated:
2017_10_01-AM-08_43_43
Last ObjectModification:
2017_07_26-PM-04_29_54
Theory : monads
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