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theorem proved term proof

parity_oneBitDiff_of_post

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formal statement (Lean)

 133theorem parity_oneBitDiff_of_post {d : Nat} (L : LedgerState d) (k : Fin d) (side : Side) :
 134    OneBitDiff (parity d L) (parity d (post L k side)) := by

proof body

Term-mode proof.

 135  -- reduce to the coord-atomic step lemma and reuse `coordAtomicStep_oneBitDiff`
 136  have hstep := phiVec_coordAtomicStep_of_post (d := d) L k side
 137  simpa [parity] using (coordAtomicStep_oneBitDiff (d := d) (x := phiVec (d := d) L)
 138    (y := phiVec (d := d) (post L k side)) hstep)
 139
 140/-! ## Posting-step relation (ledger constraint ⇒ adjacency) -/
 141
 142/-- One atomic posting step between ledger states. -/

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depends on (16)

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