Theorems · Theorem · group theory
Associates.le_one_iff
∀ {M : Type u_1} [inst : CommMonoidWithZero M] [IsCancelMulZero M] {p : Associates M}, p ≤ 1 ↔ p = 1- Defined in
- Mathlib.Algebra.GroupWithZero.Associated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 23 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.
- Bot.botproof · cited by 4,720
- CommMonoidWithZerostatement and proof · cited by 913
- Associatesstatement and proof · cited by 210
- IsCancelMulZerostatement and proof · cited by 177
- le_bot_iffproof · cited by 116
- Associates.bot_eq_oneproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- DivisorChain.first_of_chain_isUnitproof · cited by 2