Nuprl Lemma : mon_reduce_wf
∀g:IMonoid. ∀as:|g| List. (Π as ∈ |g|)
Proof
Definitions occuring in Statement :
mon_reduce: mon_reduce,
list: T List,
all: ∀x:A. B[x],
member: t ∈ T,
imon: IMonoid,
grp_car: |g|
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
mon_reduce: mon_reduce,
uall: ∀[x:A]. B[x],
imon: IMonoid
Lemmas referenced :
reduce_wf,
grp_car_wf,
grp_op_wf,
grp_id_wf,
list_wf,
imon_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation_alt,
cut,
sqequalRule,
introduction,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
because_Cache,
hypothesis,
hypothesisEquality,
universeIsType
Latex:
\mforall{}g:IMonoid. \mforall{}as:|g| List. (\mPi{} as \mmember{} |g|)
Date html generated:
2019_10_16-PM-01_01_46
Last ObjectModification:
2018_10_08-AM-11_47_02
Theory : list_2
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