Theorems · Theorem · category theory
Profinite.NobelingProof.GoodProducts.smaller_mono
∀ {I : Type u} (C : Set (I → Bool)) [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o₁ o₂ : Ordinal.{u}},
o₁ ≤ o₂ → Profinite.NobelingProof.GoodProducts.smaller C o₁ ⊆ Profinite.NobelingProof.GoodProducts.smaller C o₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrderWellFoundedLT
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
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.Elemstatement and proof · cited by 7,166
- Ordinalstatement and proof · cited by 1,688
- WellFoundedLTstatement and proof · cited by 491
- lt_of_lt_of_leproof · cited by 438
- LocallyConstantstatement and proof · cited by 227
- Profinite.NobelingProof.πproof · cited by 70
- Profinite.NobelingProof.Productsproof · cited by 54
- Profinite.NobelingProof.ordproof · cited by 51
- Function.comp_assocproof · cited by 41
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.GoodProducts.Plimitproof · cited by 1