Nuprl Lemma : abmonoid_cumulative
AbMon ⊆r AbMon{[i | j]}
Proof
Definitions occuring in Statement :
abmonoid: AbMon,
subtype_rel: A ⊆r B
Definitions unfolded in proof :
subtype_rel: A ⊆r B,
member: t ∈ T,
abmonoid: AbMon,
mon: Mon,
uall: ∀[x:A]. B[x],
prop: ℙ
Lemmas referenced :
subtype_rel_grp,
monoid_p_wf,
grp_car_wf,
grp_op_wf,
grp_id_wf,
mon_wf,
comm_wf,
abmonoid_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaEquality,
sqequalHypSubstitution,
setElimination,
thin,
rename,
dependent_set_memberEquality,
cut,
hypothesisEquality,
applyEquality,
lemma_by_obid,
hypothesis,
sqequalRule,
instantiate,
isectElimination
Latex:
AbMon \msubseteq{}r AbMon\{[i | j]\}
Date html generated:
2016_05_15-PM-00_07_33
Last ObjectModification:
2015_12_26-PM-11_46_39
Theory : groups_1
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