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    "result": "This postcondition looks only at the output program's `dataflow.gate` operations whose second result has `none` type, treating the first operand of each such gate as a \"before condition selector,\" and it collects the set of those selector values. Against that set it selects two families of `dataflow.demux` operations in the output: \"condition lanes,\" whose first operand is one of the selectors and whose second operand is non-`none`-typed, and \"frontier lanes,\" whose first operand is a selector, whose second operand is `none`-typed, is not the second operand of any selected gate, and has a defining operation whose name is not `dataflow.carry` (a demux whose second operand is a block argument is therefore excluded). It makes one cross-program counting claim: the number of condition-lane demuxes must equal the total number of operands past the first, summed over every `scf.condition` operation in the input program; no other input construct is consulted, and the match is by count only, never by identity. Universally over condition lanes it requires exactly two results, each of which has at least one use; universally over the selected gates it requires the gate's second result to have at least one use, the existence of some output `dataflow.demux` whose first operand equals the gate's first result, and the existence of some output `dataflow.demux` sharing both of the gate's first two operands, having exactly two results, with its first result used at least once. Universally over frontier lanes it requires exactly two results and the existence of output demuxes over the same (selector, token) operand pair \u2014 possibly the lane itself, possibly a different one \u2014 one with a used first result and one with a used second result. All use requirements are merely \"at least one use\"; nothing constrains who the consumer is, what the lanes' types or names are beyond the stated ones, or that the gate and demux operations reside in the same region or loop.\n\nVacuity behaves as follows: if the output contains no `dataflow.gate` with a `none`-typed second result, both lane families and the gate quantifier are empty and every `forall` passes trivially, but the counting assertion still bites and rejects the output whenever the input contains any `scf.condition` with two or more operands. Conversely, when the input has no `scf.condition` operations (or each has at most one operand) and the output has no qualifying gates, the entire postcondition is vacuously satisfied; when gates do exist, the gate and condition-lane obligations are non-vacuous, while the frontier-lane obligations can still be vacuous if every `none`-typed selector demux is filtered out by the gate-operand or `dataflow.carry` exclusions.",
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