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Theorem eq-write-2-r

⊦ r ≠ r0 → ( (mx[r, c := a0])[r0, c0 := a1] = (mx[r0, c0 := b1])[r, c := b0] ↔ (r < #r mx ∧ c < #c mx → a0 = b0) ∧ (r0 < #r mx ∧ c0 < #c mx → a1 = b1))

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