Theorems · Theorem · commutative algebra
WittVector.coeff_add_of_disjoint
∀ {p : ℕ} (n : ℕ) {R : Type u_1} [inst : CommRing R] [hp : Fact (Nat.Prime p)] (x y : WittVector p R),
(∀ (n : ℕ), x.coeff n = 0 ∨ y.coeff n = 0) → (x + y).coeff n = x.coeff n + y.coeff n- Defined in
- Mathlib.RingTheory.WittVector.InitTail
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- WittVector.extproof · cited by 29
- Classical.decPredproof · cited by 26
- WittVector.mkproof · cited by 22
- WittVector.selectproof · cited by 4
- WittVector.coeff_mkproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.sum_coeff_eq_coeff_sumproof · cited by 1