Theorems · Theorem · commutative algebra
WittVector.map_eq_zero_iff
∀ {p : ℕ} {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] [inst_2 : Fact (Nat.Prime p)]
(f : R →+* S) {x : WittVector p R}, (WittVector.map f) x = 0 ↔ ∀ (n : ℕ), f (x.coeff n) = 0- Defined in
- Mathlib.RingTheory.WittVector.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- 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 and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- WittVector.extproof · cited by 29
- WittVector.mapstatement and proof · cited by 18
- WittVector.zero_coeffproof · cited by 12
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