Theorems · Theorem · combinatorics
Fin.contractNth_apply_of_ne
∀ {n : ℕ} {α : Sort u_1} (j : Fin (n + 1)) (op : α → α → α) (g : Fin (n + 1) → α) (k : Fin n),
↑j ≠ ↑k → j.contractNth op g k = g (j.succAbove k)- Defined in
- Mathlib.Data.Fin.Tuple.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses propext
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_of_ltproof · cited by 1,175
- Fin.succAbovestatement · cited by 249
- lt_trichotomyproof · cited by 178
- Fin.succAbove_of_castSucc_ltproof · cited by 39
- Fin.succAbove_of_le_castSuccproof · cited by 33
- Fin.contractNthstatement and proof · cited by 21
- Fin.le_iff_val_le_valproof · cited by 15
- Fin.contractNth_apply_of_gtproof · cited by 6
- Fin.contractNth_apply_of_ltproof · cited by 6
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