Theorems · Definition · combinatorics
Fin.contractNth
{n : ℕ} → {α : Sort u_1} → Fin (n + 1) → (α → α → α) → (Fin (n + 1) → α) → Fin n → αSends (g₀, ..., gₙ) to (g₀, ..., op gⱼ gⱼ₊₁, ..., gₙ).
- Defined in
- Mathlib.Data.Fin.Tuple.Basic
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by24
Results whose statement or proof uses this declaration.
- groupHomology.inhomogeneousChains.dproof · cited by 19
- inhomogeneousCochains.dproof · cited by 17
- groupCohomology.comp_d₁₂_eqproof · cited by 10
- groupHomology.comp_d₂₁_eqproof · cited by 10
- groupCohomology.comp_d₀₁_eqproof · cited by 6
- groupHomology.comp_d₁₀_eqproof · cited by 6
- groupHomology.comp_d₃₂_eqproof · cited by 6
- Fin.contractNth_apply_of_gtstatement · cited by 6
- Fin.contractNth_apply_of_ltstatement · cited by 6
- groupCohomology.comp_d₂₃_eqproof · cited by 5
- Rep.barComplex.dproof · cited by 5
- Fin.contractNth_apply_of_eqstatement · cited by 5