Theorems · Theorem · combinatorics
Fin.snoc_injective_of_injective
∀ {n : ℕ} {α : Type u_2} {x₀ : α} {x : Fin n → α},
Function.Injective x → x₀ ∉ Set.range x → Function.Injective (Fin.snoc x x₀)- Defined in
- Mathlib.Data.Fin.Tuple.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 52 from the axioms · uses propext, 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.
- Setstatement · cited by 53,352
- Set.rangestatement and proof · cited by 4,705
- Set.mem_range_selfproof · cited by 328
- Fin.snocstatement and proof · cited by 113
- Fin.snoc_castSuccproof · cited by 38
- Fin.snoc_lastproof · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- Fin.snoc_injective_iffproof · cited by 0