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Theorem singletonmxvec-get

⊦ r < m ∧ c < # vec ∧ n < m → (mkmatrix(m, # vec, O)[r, c := a] * vec)[n] = (n = r ⊃ a * vec[c];O)

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: 2
Proof steps: 4
Used lemmas: singletonmxvec-get-sum-aux, multmxvec-get,
Used spec theorems:
- Used simplifier rules: