Theorems · Theorem · category theory
Profinite.NobelingProof.Products.prop_of_isGood
∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] {l : Profinite.NobelingProof.Products I} (J : I → Prop)
[inst_1 : (j : I) → Decidable (J j)],
Profinite.NobelingProof.Products.isGood (Profinite.NobelingProof.π C J) l → ∀ a ∈ ↑l, J a- Cited by
- 10 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderDecidable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- LinearOrderstatement and proof · cited by 8,572
- Set.Elemproof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.imageproof · cited by 5,609
- Submodule.spanproof · cited by 1,504
- LocallyConstantproof · cited by 227
- Profinite.NobelingProof.πstatement and proof · cited by 70
- Submodule.zero_memproof · cited by 58
- Profinite.NobelingProof.Productsstatement and proof · cited by 54
- Profinite.NobelingProof.Products.evalproof · cited by 29
Cited by10
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.Products.isGood_monoproof · cited by 4
- Profinite.NobelingProof.GoodProducts.good_lt_maxProductsproof · cited by 1
- Profinite.NobelingProof.GoodProducts.square_commutesproof · cited by 1
- Profinite.NobelingProof.eval_eq_πJproof · cited by 1
- Profinite.NobelingProof.GoodProducts.smaller_monoproof · cited by 1
- Profinite.NobelingProof.Products.limitOrdinalproof · cited by 1
- Profinite.NobelingProof.GoodProducts.injective_sum_toproof · cited by 0
- Profinite.NobelingProof.GoodProducts.unionproof · cited by 0
- Profinite.NobelingProof.GoodProducts.maxTail_isGoodproof · cited by 0
- Profinite.NobelingProof.Products.head_lt_ord_of_isGoodproof · cited by 0