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Theorem multzero

⊦ # x = n → ∅.toMatrix(m, n) * x = mkvector(m)

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 4
Proof steps: 9
Used lemmas: mult-emptymx-ind, init, toMatrix-rowno, toMatrix-colno,
Used spec theorems:
- array/matrixops/Extension
- matrixops/multmxvec-size
- matrixops/multmxvec-get
Used simplifier rules:
- array/matrixops/Size-mkarray
- nat-basic/f
- nat/ler