Nuprl Lemma : is_ufm_wf
∀g:IMonoid. (IsUFM(g) ∈ ℙ)
Proof
Definitions occuring in Statement :
is_ufm: IsUFM(g),
prop: ℙ,
all: ∀x:A. B[x],
member: t ∈ T,
imon: IMonoid
Definitions unfolded in proof :
is_ufm: IsUFM(g),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
imon: IMonoid,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
subtype_rel: A ⊆r B,
so_apply: x[s],
uimplies: b supposing a,
matom_ty: Atom{g}
Lemmas referenced :
all_wf,
grp_car_wf,
not_wf,
munit_wf,
exists_uni_upto_wf,
list_wf,
matom_ty_wf,
permr_massoc_rel_wf,
subtype_rel_dep_function,
subtype_rel_list,
subtype_rel_self,
equal_wf,
mon_reduce_wf,
imon_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
hypothesisEquality,
hypothesis,
lambdaEquality,
functionEquality,
dependent_functionElimination,
because_Cache,
applyEquality,
instantiate,
cumulativity,
universeEquality,
independent_isectElimination
Latex:
\mforall{}g:IMonoid. (IsUFM(g) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-07_45_21
Last ObjectModification:
2015_12_28-PM-05_53_34
Theory : factor_1
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