Theorems · Definition · commutative algebra
WittVector.map
{p : ℕ} →
{R : Type u_1} →
{S : Type u_2} →
[inst : CommRing R] →
[inst_1 : CommRing S] → [inst_2 : Fact (Nat.Prime p)] → (R →+* S) → WittVector p R →+* WittVector p SWittVector.map f is the ring homomorphism 𝕎 R →+* 𝕎 S naturally induced
by a ring homomorphism f : R →+* S. It acts coefficientwise.
- Defined in
- Mathlib.RingTheory.WittVector.Basic
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement · cited by 227
- WittVector.mapFunproof · cited by 13
- WittVector.mapFun.addproof · cited by 1
- WittVector.mapFun.oneproof · cited by 1
- WittVector.mapFun.zeroproof · cited by 1
- WittVector.mapFun.mulproof · cited by 0
Cited by21
Results whose statement or proof uses this declaration.
- WittVector.frobeniusEquivproof · cited by 9
- WittVector.ghostComponentModPPowproof · cited by 6
- WittVector.fontaineThetaModPPowproof · cited by 5
- WittVector.map_teichmullerstatement · cited by 3
- WittVector.ghostComponentModPPow_map_mkstatement and proof · cited by 2
- WittVector.ghostComponentModPPow_teichmuller_coeffproof · cited by 2
- WittVector.factorPowSucc_comp_fontaineThetaModPPowproof · cited by 2
- WittVector.fontaineThetaModPPow_teichmullerproof · cited by 1
- WittVector.ker_map_le_ker_mk_comp_ghostComponentstatement · cited by 1
- WittVector.quotEquivOfEq_ghostComponentModPPowproof · cited by 1
- WittVector.map_coeffstatement · cited by 1
- WittVector.map_idstatement · cited by 1