Theorems · Theorem · group theory
Rep.standardComplex.d_of
∀ {k G : Type u} [inst : CommRing k] {n : ℕ} (c : Fin (n + 1) → G),
(Rep.standardComplex.d k G n) (MonoidAlgebra.single c 1) = ∑ p, MonoidAlgebra.single (c ∘ p.succAbove) ((-1) ^ ↑p)- Cited by
- 3 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- Finset.sumstatement and proof · cited by 5,195
- Finset.univstatement and proof · cited by 3,473
- one_smulproof · cited by 1,374
- zero_smulproof · cited by 716
- MonoidAlgebrastatement and proof · cited by 590
- MonoidAlgebra.singlestatement and proof · cited by 253
- Fin.succAbovestatement and proof · cited by 249
- Finsupp.sum_single_indexproof · cited by 130
Cited by3
Results whose statement or proof uses this declaration.
- Rep.standardComplex.d_eqproof · cited by 1
- Rep.barComplex.d_comp_diagonalSuccIsoFree_inv_eqproof · cited by 0
- Rep.standardComplex.d_singleproof · cited by 0