Theorems · Theorem · number theory
ZLattice.comap_span_top
∀ (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),
Submodule.span K ↑L = ⊤ → ∀ {e : F →ₗ[K] E}, ↑L ⊆ ↑e.range → Submodule.span K ↑(ZLattice.comap K L e) = ⊤- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- 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
- Top.topstatement and proof · cited by 9,680
- SetLike.coestatement and proof · cited by 8,199
- Submodulestatement and proof · cited by 7,192
- Submodule.spanstatement and proof · cited by 1,504
- NormedFieldstatement and proof · cited by 1,084
- LinearMap.rangestatement and proof · cited by 893
- Submodule.comapproof · cited by 347
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