Theorems · Theorem · group theory
Dvd.elim
∀ {α : Type u_1} [inst : Semigroup α] {P : Prop} {a b : α}, a ∣ b → (∀ (c : α), b = a * c → P) → P- Defined in
- Mathlib.Algebra.Divisibility.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
- Assumes
- Semigroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semigroupstatement and proof · cited by 202
Cited by4
Results whose statement or proof uses this declaration.
- dvd_addproof · cited by 25
- eq_zero_of_zero_dvdproof · cited by 13
- exists_eq_mul_left_of_dvdproof · cited by 9
- dvd_of_mul_left_dvdproof · cited by 8