Theorems · Theorem · group theory
IsUnit.mul_div_cancel_right
∀ {α : Type u} [inst : DivisionMonoid α] {b : α}, IsUnit b → ∀ (a : α), a * b / b = a- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- 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_cancel_rightproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- IsUnit.mul_div_cancel_leftproof · cited by 3
- integral_Ioi_rpow_of_ltproof · cited by 2
- mul_div_cancel_of_impproof · cited by 1
- Finset.doubling_lt_golden_ratioproof · cited by 0