Nuprl Lemma : mon_hom_p_id
∀[g:GrpSig]. IsMonHom{g,g}(Id{|g|})
Proof
Definitions occuring in Statement :
monoid_hom_p: IsMonHom{M1,M2}(f),
grp_car: |g|,
grp_sig: GrpSig,
tidentity: Id{T},
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
monoid_hom_p: IsMonHom{M1,M2}(f),
fun_thru_2op: FunThru2op(A;B;opa;opb;f),
tidentity: Id{T},
identity: Id,
uall: ∀[x:A]. B[x],
member: t ∈ T,
and: P ∧ Q,
cand: A c∧ B,
infix_ap: x f y
Lemmas referenced :
grp_op_wf,
grp_car_wf,
grp_id_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
applyEquality,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
isect_memberEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
because_Cache,
independent_pairFormation,
productElimination,
independent_pairEquality
Latex:
\mforall{}[g:GrpSig]. IsMonHom\{g,g\}(Id\{|g|\})
Date html generated:
2016_05_15-PM-00_10_25
Last ObjectModification:
2015_12_26-PM-11_44_40
Theory : groups_1
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