Theorems · Definition · number theory
IsEllipticNet.atomRel
{R : Type u_1} → [CommRing R] → (ℤ → R) → ℤ → ℤ → ℤ → ℤ → RThe elliptic relator ERₐ(a, b, c, d) obtained by a change of variables in ER(p, q, r, s)
(see IsEllipticNet.rel_eq and IsEllipticNet.atomRel_eq). Note that this is defined in terms of
elliptic atoms, and hence should only be used when a, b, c, and d have the same parity.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- IsEllipticNet.atomproof · cited by 25
Cited by20
Results whose statement or proof uses this declaration.
- IsEllipticNet.rel_eqstatement · cited by 3
- IsEllipticNet.atomRel_neg₁statement · cited by 1
- IsEllipticNet.atomRel_neg₂statement · cited by 1
- IsEllipticNet.atomRel_neg₃statement · cited by 1
- IsEllipticNet.atomRel_neg₄statement · cited by 1
- IsEllipticNet.map_atomRelstatement · cited by 0
- IsEllipticNet.rel_negproof · cited by 0
- IsEllipticNet.atomRel_abs₁statement · cited by 0
- IsEllipticNet.atomRel_abs₂statement · cited by 0
- IsEllipticNet.atomRel_abs₃statement · cited by 0
- IsEllipticNet.atomRel_abs₄statement · cited by 0
- IsEllipticNet.atomRel_avg_substatement and proof · cited by 0