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Theorem ext-rec

⊦ mx1 = mx0[r, c := a] ↔ #r mx0 = #r mx1 ∧ #c mx0 = #c mx1 ∧ (∀ r0, c0. r0 < #r mx0 ∧ c0 < #c mx0 → mx1[r0, c0] = (r = r0 ∧ c = c0 ⊃ a;mx0[r0, c0]))

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