Nuprl Lemma : tidentity_wf_for_mon_hom
∀[g:IMonoid]. (Id{|g|} ∈ MonHom(g,g))
Proof
Definitions occuring in Statement :
monoid_hom: MonHom(M1,M2),
imon: IMonoid,
grp_car: |g|,
tidentity: Id{T},
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
monoid_hom: MonHom(M1,M2),
imon: IMonoid,
prop: ℙ
Lemmas referenced :
mon_hom_p_id,
monoid_hom_p_wf,
imon_wf,
tidentity_wf,
grp_car_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
dependent_set_memberEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
setElimination,
rename,
hypothesisEquality,
hypothesis,
sqequalRule,
axiomEquality,
equalityTransitivity,
equalitySymmetry
Latex:
\mforall{}[g:IMonoid]. (Id\{|g|\} \mmember{} MonHom(g,g))
Date html generated:
2016_05_15-PM-00_10_30
Last ObjectModification:
2015_12_26-PM-11_44_31
Theory : groups_1
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