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Theorem distrmxvecvec

⊦ #c mx = # vec1 ∧ # vec1 = # vec2 → mx * (vec1 + vec2) = mx * vec1 + mx * vec2

Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 9
Proof steps: 18
Used lemmas: sum-red, sum-add, addmvec-get, multmxvec-get, multmxvec-size, addvec-size,
Used spec theorems:
- array/matrixops/Extension
- ring/distr-r
Used simplifier rules: