Theorems · Theorem · group theory
IsAddUnit.add_eq_left
∀ {M : Type u_1} [inst : AddMonoid M] {a b : M}, IsAddUnit a → (a + b = a ↔ b = 0)- Defined in
- Mathlib.Algebra.Group.Units.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- add_zeroproof · cited by 2,707
- IsAddUnitstatement and proof · cited by 215
- IsAddUnit.add_right_injproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- IsOfFinAddOrder.nsmul_eq_nsmul_iff_modEqproof · cited by 1