Theorems · Theorem · category theory
Profinite.NobelingProof.factors_prod_eq_basis_of_eq
∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] (s : Finset I)
{x y : ↑(Profinite.NobelingProof.π C fun x => x ∈ s)}, y = x → (Profinite.NobelingProof.factors C s x).prod y = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Finsetstatement and proof · cited by 13,712
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemstatement and proof · cited by 7,166
- sub_zeroproof · cited by 938
- MonoidHom.compproof · cited by 469
- LocallyConstantstatement and proof · cited by 227
- Profinite.NobelingProof.πstatement and proof · cited by 70
- Finset.sortproof · cited by 42
- Pi.evalMonoidHomproof · cited by 14
- Profinite.NobelingProof.eproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.factors_prod_eq_basisproof · cited by 1