\node[] (i0j0) at (-1, -1) {a};
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\node[] (i1j0) at (1, -1) {b};
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\node[] (i0j1) at (-1, 1) {b};
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\node[] (i1j1) at (1, 1) {b};
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\node (in) at (0, 0) {$\lambda i j. p (i \lor j)$};
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\draw[->] (i0j0) -- (i0j1) node [midway] {$p$};
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\draw[->] (i0j0) -- (i1j0) node [midway, below] {$p$};
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\draw[->] (i0j1) -- (i1j1) node [midway] {$\lambda i. p\ i1$};
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\draw[->] (i1j0) -- (i1j1) node [midway, right] {$\lambda j. p\ i1$};
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