Theorems · Theorem · combinatorics
Fin.exists_fin_succ_pi
∀ {n : ℕ} {α : Fin (n + 1) → Sort u} {P : ((i : Fin (n + 1)) → α i) → Prop}, (∃ x, P x) ↔ ∃ a v, P (Fin.cons a v)- Defined in
- Mathlib.Data.Fin.Tuple.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fin.consstatement and proof · cited by 190
- Fin.tailproof · cited by 74
- Fin.cons_self_tailproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Set.mem_sum_list_ofFnproof · cited by 3