Theorems · Theorem · order theory
Sym2.GameAdd.recursion_eq
∀ {α : Type u_1} {rα : α → α → Prop} {C : α → α → Sort u_3} (hr : WellFounded rα)
(IH : (a₁ b₁ : α) → ((a₂ b₂ : α) → Sym2.GameAdd rα s(a₂, b₂) s(a₁, b₁) → C a₂ b₂) → C a₁ b₁) (a b : α),
Sym2.GameAdd.recursion hr IH a b = IH a b fun a' b' x => Sym2.GameAdd.recursion hr IH a' b'- Defined in
- Mathlib.Order.GameAdd
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Sym2.mkstatement and proof · cited by 332
- Prod.GameAddproof · cited by 18
- Sym2.GameAddstatement and proof · cited by 14
- Sym2.GameAdd.recursionstatement · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Sym2.GameAdd.fix_eqproof · cited by 0