Helper

card_lker_lfun

File dumas2017dual/lib/rouche_capelli.v

Section finvect_lemmas

Type Lemma

Proof Lines 1

Signature

Lemma card_lker_lfun (K : fieldType) (aT : finVectType K) (rT : vectType K) (f : {linear aT -> rT}) : #|lker (linfun f)| = #|[set x : aT | f x == 0]|.

Description

Kernel cardinality equals the set of zeros: |ker(f)| = |{x | f(x) = 0}|. Connects the linear algebra kernel with the set-theoretic preimage of 0.

Uses (0)

This lemma does not use any other lemmas from the stats.

Used By (0)

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