Theorems · Theorem · ring theory
TrivSqZeroExt.liftEquivOfComm_apply
∀ {R' : Type u} {M : Type v} [inst : CommSemiring R'] [inst_1 : AddCommMonoid M] [inst_2 : Module R' M]
[inst_3 : Module R'ᵐᵒᵖ M] [inst_4 : IsCentralScalar R' M] {A : Type u_2} [inst_5 : Semiring A] [inst_6 : Algebra R' A]
(a : { f // ∀ (x y : M), f x * f y = 0 }),
TrivSqZeroExt.liftEquivOfComm a = TrivSqZeroExt.lift (Algebra.ofId R' A) ↑a ⋯ ⋯ ⋯- Defined in
- Mathlib.Algebra.TrivSqZeroExt.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- LinearMapstatement and proof · cited by 10,215
- Equivstatement · cited by 8,337
- AlgHomstatement · cited by 3,236
- MulOppositestatement and proof · cited by 1,135
- MulOpposite.opstatement · cited by 520
Cited by4
Results whose statement or proof uses this declaration.
- TrivSqZeroExt.map_inrproof · cited by 4
- TrivSqZeroExt.snd_mapproof · cited by 1
- TrivSqZeroExt.fst_mapproof · cited by 1
- TrivSqZeroExt.map_inlproof · cited by 1