Theorems · Theorem · number theory
ZLattice.comap_toAddSubgroup
∀ (K : Type u_1) [inst : NormedField K] {E : Type u_2} {F : Type u_3} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace K E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace K F] (L : Submodule ℤ E)
(e : F →ₗ[K] E), (ZLattice.comap K L e).toAddSubgroup = AddSubgroup.comap e.toAddMonoidHom L.toAddSubgroup- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 48 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.
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearMapstatement and proof · cited by 10,215
- Submodulestatement and proof · cited by 7,192
- AddSubgroupstatement · cited by 3,232
- NormedFieldstatement and proof · cited by 1,084
- AddSubgroup.comapstatement · cited by 123
- Submodule.toAddSubgroupstatement · cited by 106
- LinearMap.toAddMonoidHomstatement · cited by 101
- ZLattice.comapstatement · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- ZLattice.covolume_div_covolume_eq_relIndex'proof · cited by 0