Nuprl Lemma : fma_sig_wf
∀G:GrpSig. ∀A:RngSig. (fma_sig{i:l}(G;A) ∈ 𝕌')
Proof
Definitions occuring in Statement :
fma_sig: fma_sig{i:l}(G;A),
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type,
rng_sig: RngSig,
grp_sig: GrpSig
Definitions unfolded in proof :
fma_sig: fma_sig{i:l}(G;A),
all: ∀x:A. B[x],
member: t ∈ T,
uall: ∀[x:A]. B[x],
algebra: algebra{i:l}(A),
module: A-Module
Lemmas referenced :
algebra_sig_wf,
rng_car_wf,
grp_car_wf,
alg_car_wf,
algebra_wf,
rng_sig_wf,
grp_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
productEquality,
lemma_by_obid,
sqequalHypSubstitution,
dependent_functionElimination,
thin,
isectElimination,
hypothesisEquality,
hypothesis,
cumulativity,
functionEquality,
setElimination,
rename
Latex:
\mforall{}G:GrpSig. \mforall{}A:RngSig. (fma\_sig\{i:l\}(G;A) \mmember{} \mBbbU{}')
Date html generated:
2016_05_16-AM-08_14_11
Last ObjectModification:
2015_12_28-PM-06_09_18
Theory : polynom_1
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