Theorems · Theorem · category theory
Profinite.NobelingProof.swapTrue_eq_true
∀ {I : Type u} [inst : LinearOrder I] [inst_1 : WellFoundedLT I] {o : Ordinal.{u}}
(ho : o < Ordinal.type fun x1 x2 => x1 < x2) (x : I → Bool),
Profinite.NobelingProof.SwapTrue o x (Profinite.NobelingProof.term I ho) = true- Cited by
- 1 results in Mathlib
- Foundations
- Depth 39 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Ordinalstatement and proof · cited by 1,688
- WellFoundedLTstatement and proof · cited by 491
- Ordinal.typestatement and proof · cited by 207
- Profinite.NobelingProof.termstatement and proof · cited by 22
- Profinite.NobelingProof.SwapTruestatement · cited by 7
- Profinite.NobelingProof.ord_term_auxproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Profinite.NobelingProof.Products.max_eq_evalproof · cited by 2