Theorems · Theorem · order theory
Fin.succAbove_ne_zero_zero
∀ {n : ℕ} [inst : NeZero n] {a : Fin (n + 1)}, a ≠ 0 → a.succAbove 0 = 0- Defined in
- Mathlib.Data.Fin.SuccPred
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext
- Assumes
- NeZero
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.succAbovestatement · cited by 249
- Fin.succAbove_of_castSucc_ltproof · cited by 39
- Fin.castSucc_zero'proof · cited by 2
Cited by8
Results whose statement or proof uses this declaration.
- AlgebraicTopology.DoldKan.Isδ₀.iffproof · cited by 4
- Matrix.adjugate_fin_twoproof · cited by 3
- Fin.succ_succAbove_zeroproof · cited by 2
- Fin.succAbove_eq_zero_iffproof · cited by 1
- Fin.partialProd_contractNthproof · cited by 1
- TopCat.toSSetObj₁Equiv_apply_zeroproof · cited by 0
- Fin.insertNth_succ_consproof · cited by 0
- Fin.partialSum_contractNthproof · cited by 0