Nuprl Lemma : matrix_ap_mx_lemma
∀j,i,M:Top. (matrix(M[x;y])[i,j] ~ M[i;j])
Proof
Definitions occuring in Statement :
mx: matrix(M[x; y]),
matrix-ap: M[i,j],
top: Top,
so_apply: x[s1;s2],
all: ∀x:A. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
member: t ∈ T,
all: ∀x:A. B[x],
matrix-ap: M[i,j],
mx: matrix(M[x; y])
Lemmas referenced :
top_wf
Rules used in proof :
extract_by_obid,
introduction,
hypothesis,
cut,
lambdaFormation,
sqequalReflexivity,
computationStep,
sqequalTransitivity,
sqequalSubstitution,
sqequalRule
Latex:
\mforall{}j,i,M:Top. (matrix(M[x;y])[i,j] \msim{} M[i;j])
Date html generated:
2018_05_21-PM-09_34_10
Last ObjectModification:
2017_12_13-PM-03_36_58
Theory : matrices
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