Theorems · Theorem · group theory
AddSubsemigroup.op_inj
∀ {M : Type u_2} [inst : Add M] {S T : AddSubsemigroup M}, S.op = T.op ↔ S = T- Cited by
- 1 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddOppositestatement · cited by 452
- AddSubsemigroupstatement and proof · cited by 262
- AddSubsemigroup.opstatement · cited by 28
- RelIso.eq_iff_eqproof · cited by 18
- AddSubsemigroup.opEquivproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- AddSubsemigroup.unop_closureproof · cited by 0