Theorems · Definition · commutative algebra
WittVector.mapFun
{p : ℕ} → {α : Type u_3} → {β : Type u_4} → (α → β) → WittVector p α → WittVector p βf : α → β induces a map from 𝕎 α to 𝕎 β by applying f componentwise.
If f is a ring homomorphism, then so is f, see WittVector.map f.
- Defined in
- Mathlib.RingTheory.WittVector.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WittVectorstatement and proof · cited by 227
- WittVector.coeffproof · cited by 138
- WittVector.mkproof · cited by 22
Cited by14
Results whose statement or proof uses this declaration.
- WittVector.mapproof · cited by 18
- WittVector.mapFun.addstatement · cited by 1
- WittVector.mapFun.injectivestatement and proof · cited by 1
- WittVector.mapFun.natCaststatement and proof · cited by 1
- WittVector.mapFun.negstatement · cited by 1
- WittVector.mapFun.onestatement · cited by 1
- WittVector.mapFun.surjectivestatement · cited by 1
- WittVector.mapFun.zerostatement · cited by 1
- WittVector.mapFun.intCaststatement and proof · cited by 0
- WittVector.mapFun.mulstatement · cited by 0
- WittVector.mapFun.nsmulstatement · cited by 0
- WittVector.mapFun.powstatement · cited by 0