Theorems · Theorem · group theory
Units.mul_right_inj
∀ {α : Type u} [inst : Monoid α] (a : αˣ) {b c : α}, ↑a * b = ↑a * c ↔ b = c- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Units.inv_mul_cancel_leftproof · cited by 15
Cited by4
Results whose statement or proof uses this declaration.
- IsUnit.mul_right_injproof · cited by 13
- FractionalIdeal.mk'_mul_coeIdeal_eq_coeIdealproof · cited by 3
- Submonoid.LocalizationMap.map_right_cancelproof · cited by 2
- Unitary.mul_right_injproof · cited by 0