| import OAI.Probability.MatroidSecretary.Secretary.SourceAssembly | |
| import OAI.Probability.MatroidSecretary.Secretary.Coupling | |
| namespace OAI | |
| /-! | |
| # The full-seed order-oblivious secretary consequence | |
| The concrete initial seed law is fixed before the weight vector. The complete | |
| conditional table is drawn initially and the decoder uses only prefix labels. | |
| The actual rule's guarded replay is feasible at every seed, while the exact | |
| source-law coupling supplies the expected-minimum guarantee against every | |
| measurable full-information suffix policy. | |
| -/ | |
| namespace MatroidProphet | |
| /-- `cor:secretary`, with no construction-law or model-validity assumption. -/ | |
| theorem secretary.{u} : SecretaryChallenge.{u} := by | |
| intro n M hE | |
| exact SecretaryReplay.reconstructed_source_witness M hE | |
| (Secretary.couplingLength M hE) Secretary.couplingDecode | |
| (Secretary.couplingSeedLaw M hE) | |
| (Secretary.coupling_source_law M hE) (Secretary.coupling_mask_ae M hE) | |
| end MatroidProphet | |
| end OAI | |