Theorems · Theorem · combinatorics
Cycle.chain_range_succ
∀ (r : ℕ → ℕ → Prop) (n : ℕ), Cycle.Chain r ↑(List.range n.succ) ↔ r n 0 ∧ ∀ m < n, r m m.succ
- Defined in
- Mathlib.Data.List.Cycle
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cycleproof · cited by 79
- Cycle.ofListstatement and proof · cited by 38
- Cycle.Chainstatement and proof · cited by 15
- Cycle.chain_coe_consproof · cited by 6
- Cycle.coe_cons_eq_coe_appendproof · cited by 2
- List.isChain_cons_range_succproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Function.periodicOrbit_chainproof · cited by 1