Theorems · Theorem · group theory
IsUnit.mul_eq_right
∀ {M : Type u_1} [inst : Monoid M] {a b : M}, IsUnit b → (a * b = b ↔ a = 1)- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- 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
- one_mulproof · cited by 2,841
- IsUnitstatement and proof · cited by 1,602
- IsUnit.mul_left_injproof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- isConj_one_rightproof · cited by 2