0specs/divblkbackward-is-refine/proofs/3378196290finalization ⊦ CFin^ ⊆ T ^ ⊗ AFin^532finalization-prooffinalization-proof-infocorrectness ⊦ COp^(i) ⊗ T ^ ⊆ T ^ ⊗ AOp^(i)1192correctness-proofcorrectness-proof-infoinitialization ⊦ CInit^ ⊗ T ^ ⊆ AInit^210initialization-proofinitialization-proof-infogencommute-implies-blk-applicabilityCOp^(i) ⊗ T ^ ⊆ T ^ ⊗ AOp^(i) ⊦ blk(COp(i)) ⊆ dom(T ≫ blk(AOp(i))) ∪ dom(T ≫ div(AOp(i)))18gencommute-implies-blk-applicability-proofgencommute-implies-blk-applicability-proof-infogencommute-implies-correctnessCOp^(i) ⊗ T ^ ⊆ T ^ ⊗ AOp^(i) ⊦ (dom(T ≫ div(AOp(i))) ≪- eff(COp(i))) ⊗ T ⊆ T ⊗ eff(AOp(i))415gencommute-implies-correctness-proofgencommute-implies-correctness-proof-infogencommute-implies-div-applicabilityCOp^(i) ⊗ T ^ ⊆ T ^ ⊗ AOp^(i) ⊦ div(COp(i)) ⊆ dom(T ≫ div(AOp(i)))16gencommute-implies-div-applicability-proofgencommute-implies-div-applicability-proof-infogenfinalisation-implies-fin-applicabilityCFin^ ⊆ T ^ ⊗ AFin^ ⊦ ¬ dom(CFin)(cs) → dom(T -≫ dom(AFin))(cs)116genfinalisation-implies-fin-applicability-proofgenfinalisation-implies-fin-applicability-proof-infogenfinalisation-implies-finalisationCFin^ ⊆ T ^ ⊗ AFin^ ⊦ CFin ⊆ T ⊗ AFin110genfinalisation-implies-finalisation-proofgenfinalisation-implies-finalisation-proof-infogeninitialisation-implies-initialisationCInit^ ⊗ T ^ ⊆ AInit^ ⊦ ran(CInits ≪ T) ⊆ AInits210geninitialisation-implies-initialisation-proofgeninitialisation-implies-initialisation-proof-info