Nuprl Lemma : matrix_wf
∀[n,m:ℤ]. ∀[r:RngSig]. (Matrix(n;m;r) ∈ Type)
Proof
Definitions occuring in Statement :
matrix: Matrix(n;m;r),
uall: ∀[x:A]. B[x],
member: t ∈ T,
int: ℤ,
universe: Type,
rng_sig: RngSig
Definitions unfolded in proof :
matrix: Matrix(n;m;r),
member: t ∈ T,
uall: ∀[x:A]. B[x]
Lemmas referenced :
rng_sig_wf,
rng_car_wf,
int_seg_wf
Rules used in proof :
intEquality,
because_Cache,
isect_memberEquality,
equalitySymmetry,
equalityTransitivity,
axiomEquality,
hypothesis,
hypothesisEquality,
natural_numberEquality,
thin,
isectElimination,
sqequalHypSubstitution,
extract_by_obid,
functionEquality,
sqequalRule,
cut,
introduction,
isect_memberFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution
Latex:
\mforall{}[n,m:\mBbbZ{}]. \mforall{}[r:RngSig]. (Matrix(n;m;r) \mmember{} Type)
Date html generated:
2018_05_21-PM-09_34_01
Last ObjectModification:
2017_12_11-PM-00_29_18
Theory : matrices
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