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Theorems · Theorem · logic and foundations

Turing.PartrecToTM2.codeSupp_fix

∀ (f : Turing.ToPartrec.Code) (k : Turing.PartrecToTM2.Cont'),
  Turing.PartrecToTM2.codeSupp f.fix k =
    Turing.PartrecToTM2.trStmts₁ (Turing.PartrecToTM2.trNormal f.fix k) ∪
      Turing.PartrecToTM2.codeSupp f (Turing.PartrecToTM2.Cont'.fix f k)
Defined in
Mathlib.Computability.TuringMachine.ToPartrec
Cited by
2 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Turing.PartrecToTM2.codeSupp'_supports · cited by 2PartrecToTM2.codeSupp'_su…Turing.PartrecToTM2.trNormal_supports · cited by 2PartrecToTM2.trNormal_sup…Finset · cited by 13712FinsetTuring.PartrecToTM2.Λ' · cited by 85PartrecToTM2.Λ'Turing.ToPartrec.Code · cited by 83ToPartrec.CodeTuring.PartrecToTM2.Cont' · cited by 51PartrecToTM2.Cont'Turing.PartrecToTM2.trNormal · cited by 23PartrecToTM2.trNormalTuring.PartrecToTM2.trStmts₁ · cited by 23PartrecToTM2.trStmts₁Turing.PartrecToTM2.natEnd · cited by 18PartrecToTM2.natEndTuring.PartrecToTM2.contSupp · cited by 18PartrecToTM2.contSuppFinset.union_insert · cited by 17Finset.union_insertTuring.PartrecToTM2.codeSupp · cited by 16PartrecToTM2.codeSuppFinset.insert_union · cited by 16Finset.insert_unionTuring.PartrecToTM2.codeSupp' · cited by 13PartrecToTM2.codeSupp'Finset.union_singleton · cited by 11Finset.union_singletonFinset.union_assoc · cited by 6Finset.union_assocFinset.union_left_comm · cited by 3Finset.union_left_commPartrecToTM2.codeSupp_fixCITED BYCITES

Cites16

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.