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Theorems · Theorem · combinatorics

Fin.comp_contractNth

∀ {n : ℕ} {α : Sort u_1} {β : Sort u_2} (opα : α → α → α) (opβ : β → β → β) {f : α → β},
  (∀ (x y : α), f (opα x y) = opβ (f x) (f y)) →
    ∀ (j : Fin (n + 1)) (g : Fin (n + 1) → α), f ∘ j.contractNth opα g = j.contractNth opβ (f ∘ g)
Defined in
Mathlib.Data.Fin.Tuple.Basic
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Foundations
Depth 22 from the axioms · uses propext, Quot.sound
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lt_trichotomy · cited by 178lt_trichotomyFin.contractNth · cited by 21Fin.contractNthFin.contractNth_apply_of_gt · cited by 6Fin.contractNth_apply_of_…Fin.contractNth_apply_of_lt · cited by 6Fin.contractNth_apply_of_…Fin.contractNth_apply_of_eq · cited by 5Fin.contractNth_apply_of_…Fin.comp_contractNthCITED BYCITES

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