Nuprl Lemma : inj_mon_hom_wf
∀[g,h:GrpSig]. (InjMonHom(g;h) ∈ Type)
Proof
Definitions occuring in Statement :
inj_mon_hom: InjMonHom(g;h),
grp_sig: GrpSig,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
inj_mon_hom: InjMonHom(g;h),
uall: ∀[x:A]. B[x],
member: t ∈ T,
monoid_hom: MonHom(M1,M2),
prop: ℙ
Lemmas referenced :
monoid_hom_wf,
inject_wf,
grp_car_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
setEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
setElimination,
rename,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
because_Cache
Latex:
\mforall{}[g,h:GrpSig]. (InjMonHom(g;h) \mmember{} Type)
Date html generated:
2016_05_15-PM-00_10_15
Last ObjectModification:
2015_12_26-PM-11_44_45
Theory : groups_1
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