Theorems · Theorem · number theory
ZMod.natCast_eq_zero_iff_even
∀ {n : ℕ}, ↑n = 0 ↔ Even n- Defined in
- Mathlib.Data.ZMod.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.cast_zeroproof · cited by 1,870
- ZModstatement · cited by 1,024
- Evenstatement and proof · cited by 444
- Int.cast_natCastproof · cited by 393
- Int.cast_zeroproof · cited by 188
- ZMod.intCast_eq_zero_iff_evenproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- SimpleGraph.even_card_odd_degree_verticesproof · cited by 1
- Even.natCast_zmod_twoproof · cited by 0