Theorems · Theorem · number theory
jacobiSym.pow_left
∀ (a : ℤ) (e b : ℕ), jacobiSym (a ^ e) b = jacobiSym a b ^ e
We have that J(a^e | b) = J(a | b)^e.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- pow_zeroproof · cited by 1,094
- pow_succproof · cited by 374
- jacobiSymstatement and proof · cited by 44
- jacobiSym.mul_leftproof · cited by 8
- jacobiSym.one_leftproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- jacobiSym.mod_right'proof · cited by 1
- jacobiSym.sq_one'proof · cited by 1
- ZMod.nonsquare_of_jacobiSym_eq_neg_oneproof · cited by 0