4.11 The canonical dual-effect zig-zag rule

The most important correction to the earlier document is that negative occupancy of Infrafunction is not merely defensive, resistant, or purificatory. It is simultaneously purificatory AND generative. Each zig-zag step introduces a new typed negative coordinate, and the presence of that new coordinate changes what the total state can be and what properties can emerge from the state.

For the Hyperfunction side, define Z_n = -I_n.

Then the move from H_n toward the next Hyperfunction construction includes Z_n as a new typed coordinate. Z_n has two logically separate consequences: a purification contribution Pi_n and a generative-emergence contribution Gamma_n.

Z_n -> {Purification Pi_n, Emergent-dimensional generation Gamma_n}

CANONICAL INTERPRETATION: negating a richer Infrafunction order does not merely make Hyperfunction harder to corrupt into that Infrafunction. The negation itself adds new state-space structure, and that new structure can generate higher-order positive properties that did not exist at the lower Hyperfunction order.