Theorems · Definition · number theory
IsEllipticNet.atom
{R : Type u_1} → [CommRing R] → (ℤ → R) → ℤ → ℤ → RThe elliptic atom Wₐ(a, b) that defines an elliptic net. Note that this is defined in terms of
truncated integer division, and hence should only be used when a and b have the same parity.
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
Cited by26
Results whose statement or proof uses this declaration.
- IsEllipticNet.atomRelproof · cited by 20
- IsEllipticNet.atom_samestatement · cited by 6
- IsEllipticNet.atom_neg_leftstatement and proof · cited by 4
- IsEllipticNet.atom_neg_rightstatement · cited by 4
- IsEllipticNet.neg_atomstatement and proof · cited by 3
- IsEllipticNet.atom_abs_leftstatement and proof · cited by 3
- IsEllipticNet.atom_abs_rightstatement and proof · cited by 3
- IsEllipticNet.atom_mul_atomstatement and proof · cited by 1
- IsEllipticNet.map_atomstatement · cited by 1
- IsEllipticNet.atomRel_neg₁proof · cited by 1
- IsEllipticNet.atomRel_neg₂proof · cited by 1
- IsEllipticNet.atomRel_neg₃proof · cited by 1