Theorems · Theorem · group theory
Dvd.dvd.antisymm
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [IsCancelMulZero α] {a b : α} [Subsingleton αˣ], a ∣ b → b ∣ a → a = bAlias of dvd_antisymm.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Unitsstatement · cited by 2,804
- CommMonoidWithZerostatement · cited by 913
- IsCancelMulZerostatement · cited by 177
- dvd_antisymmproof · cited by 23
Cited by6
Results whose statement or proof uses this declaration.
- eq_of_forall_dvdproof · cited by 4
- Function.Commute.minimalPeriod_of_comp_eq_mul_of_coprimeproof · cited by 2
- DirichletCharacter.conductor_changeLevelproof · cited by 1
- CharP.char_is_prime_of_two_leproof · cited by 1
- eq_of_forall_dvd'proof · cited by 0
- Nat.setGcd_insert_of_dvdproof · cited by 0