Theorems · Theorem · number theory
ZSpan.repr_ceil_apply
∀ {E : Type u_1} {ι : Type u_2} {K : Type u_3} [inst : NormedField K] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace K E] (b : Module.Basis ι K E) [inst_3 : LinearOrder K] [inst_4 : IsStrictOrderedRing K]
[inst_5 : FloorRing K] [inst_6 : Fintype ι] (m : E) (i : ι), (b.repr ↑(ZSpan.ceil b m)) i = ↑⌈(b.repr m) i⌉- Defined in
- Mathlib.Algebra.Module.ZLattice.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites35
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
- Moduleproof · cited by 20,661
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- AddCommGroupproof · cited by 12,871
- NormedSpacestatement and proof · cited by 12,499
- LinearOrderstatement and proof · cited by 8,572
- Fintypestatement and proof · cited by 7,736
- Submodulestatement · cited by 7,192
- Finsuppstatement · cited by 5,255
- Set.rangestatement and proof · cited by 4,705
- mul_oneproof · cited by 3,885
Cited by1
Results whose statement or proof uses this declaration.
- ZSpan.ceil_eq_self_of_memproof · cited by 0