Theorems · Theorem · order theory
Nat.WithBot.add_eq_one_iff
∀ {n m : WithBot ℕ}, n + m = 1 ↔ n = 0 ∧ m = 1 ∨ n = 1 ∧ m = 0- Defined in
- Mathlib.Data.Nat.WithBot
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 49 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.
- Bot.botproof · cited by 4,720
- WithBotstatement and proof · cited by 1,498
- WithBot.someproof · cited by 541
- WithBot.recBotCoeproof · cited by 101
- WithBot.add_botproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.irreducible_of_degree_eq_one_of_isRelPrime_coeffproof · cited by 1