Theorems · Theorem · group theory
IsUnit.div_self
∀ {α : Type u} [inst : DivisionMonoid α] {a : α}, IsUnit a → a / a = 1- Defined in
- Mathlib.Algebra.Group.Units.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- DivisionMonoid
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.
- IsUnitstatement and proof · cited by 1,602
- div_eq_mul_invproof · cited by 715
- DivisionMonoidstatement and proof · cited by 201
- IsUnit.mul_inv_cancelproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- div_selfproof · cited by 237
- IsUnit.div_eq_one_iff_eqproof · cited by 1
- IsUnit.mul_eq_mul_of_div_eq_divproof · cited by 0