Theorems · Theorem · number theory
Nat.two_dvd_mul_add_one
∀ (k : ℕ), 2 ∣ k * (k + 1)
- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- even_iff_two_dvdproof · cited by 25
- Nat.even_mul_succ_selfproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.iterate_derivative_derivative_mul_X_sqproof · cited by 2
- Polynomial.resultant_derivproof · cited by 0
- Nat.two_dvd_mul_sub_oneproof · cited by 0
- Nat.eight_dvd_sq_sub_one_of_oddproof · cited by 0