Nuprl Lemma : grp_p_wf
∀g:GrpSig. (grp_p(g) ∈ ℙ)
Proof
Definitions occuring in Statement :
grp_p: grp_p(g),
prop: ℙ,
all: ∀x:A. B[x],
member: t ∈ T,
grp_sig: GrpSig
Definitions unfolded in proof :
grp_p: grp_p(g),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
group_p_wf,
grp_car_wf,
grp_op_wf,
grp_id_wf,
grp_inv_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
lemma_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis
Latex:
\mforall{}g:GrpSig. (grp\_p(g) \mmember{} \mBbbP{})
Date html generated:
2016_05_16-AM-08_13_52
Last ObjectModification:
2015_12_28-PM-06_09_37
Theory : polynom_1
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