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Metamath Proof Explorer

Theorem lveclmodd

Description: A vector space is a left module. (Contributed by SN, 16-May-2024)

Ref Expression
Hypothesis lveclmodd.1 
|- ( ph -> W e. LVec )
Assertion lveclmodd 
|- ( ph -> W e. LMod )

Proof

Step Hyp Ref Expression
1 lveclmodd.1 
 |-  ( ph -> W e. LVec )
2 lveclmod 
 |-  ( W e. LVec -> W e. LMod )
3 1 2 syl 
 |-  ( ph -> W e. LMod )