Theorems · Theorem · number theory
Pell.xn_add
∀ {a : ℕ} (a1 : 1 < a) (m n : ℕ),
Pell.xn a1 (m + n) = Pell.xn a1 m * Pell.xn a1 n + Pell.d✝ a1 * Pell.yn a1 m * Pell.yn a1 n- Defined in
- Mathlib.NumberTheory.PellMatiyasevic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_addproof · cited by 586
- Nat.cast_mulproof · cited by 309
- Zsqrtd.improof · cited by 54
- Zsqrtd.reproof · cited by 53
- Pell.xnstatement and proof · cited by 44
- Pell.ynstatement and proof · cited by 37
- Pell.pellZdproof · cited by 13
- Zsqrtd.mk.noConfusionproof · cited by 5
- Pell.pellZd_addproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Pell.xn_modEq_x2n_addproof · cited by 2
- Pell.xn_modEq_x2n_sub_lemproof · cited by 1