Theorems · Theorem · number theory
Nat.even_iff
∀ {n : ℕ}, Even n ↔ n % 2 = 0- Defined in
- Mathlib.Algebra.Group.Nat.Even
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Evenstatement and proof · cited by 444
Cited by8
Results whose statement or proof uses this declaration.
- FiniteField.even_card_iff_char_twoproof · cited by 2
- Nat.xor_one_of_evenproof · cited by 1
- Int.even_coe_natproof · cited by 1
- Finset.even_sum_iff_even_card_oddproof · cited by 0
- Finset.prod_nonneg_of_card_nonpos_evenproof · cited by 0
- Nat.xor_rangeproof · cited by 0
- Fin.even_iff_mod_of_evenproof · cited by 0
- SimpleGraph.two_colorable_iff_forall_loop_evenproof · cited by 0