Theorems · Theorem · order theory
Nat.WithBot.lt_zero_iff
∀ {n : WithBot ℕ}, n < 0 ↔ n = ⊥- Defined in
- Mathlib.Data.Nat.WithBot
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- WithBotstatement and proof · cited by 1,498
- WithBot.lt_coe_botproof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- Polynomial.associated_content_mulproof · cited by 6
- Polynomial.zero_le_degree_iffproof · cited by 4
- Polynomial.not_isFieldproof · cited by 3
- Polynomial.leadingCoeff_divByMonic_X_sub_Cproof · cited by 0