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feat(InputOutput): prove isGraph_inputOutput and isGraph_inputState - #71

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AdoHaha wants to merge 1 commit into
mcdoll:mainfrom
AdoHaha:feat/input-output-graphs
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AdoHaha wants to merge 1 commit into
mcdoll:mainfrom
AdoHaha:feat/input-output-graphs

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@AdoHaha

@AdoHaha AdoHaha commented Sep 15, 2026

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Split out of #67 at the reviewer's request, so that PR stays focused on the GlobalExistence/Dynamics proofs.

This branch contains only the DynamicalSystems/InputOutput/ClosedLoop.lean change:

  • isGraph_inputOutput — if loop.inputState is a graph, then loop.inputOutput is.
  • isGraph_inputState — if loop.inputOutput is a graph, then loop.inputState is.

No other files are touched.

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