Nuprl Lemma : grp_of_module_wf
∀A:Type. ∀m:algebra_sig{i:l}(A). (m↓grp ∈ GrpSig)
Proof
Definitions occuring in Statement :
grp_of_module: m↓grp,
algebra_sig: algebra_sig{i:l}(A),
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type,
grp_sig: GrpSig
Definitions unfolded in proof :
grp_of_module: m↓grp,
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
add_grp_of_rng_wf,
rng_of_alg_wf,
algebra_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
dependent_functionElimination,
hypothesisEquality,
hypothesis,
universeEquality
Latex:
\mforall{}A:Type. \mforall{}m:algebra\_sig\{i:l\}(A). (m\mdownarrow{}grp \mmember{} GrpSig)
Date html generated:
2016_05_16-AM-07_26_21
Last ObjectModification:
2015_12_28-PM-05_08_04
Theory : algebras_1
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