Theorems · Theorem · group theory
AddSubmonoid.ext_iff
∀ {M : Type u_1} [inst : AddZeroClass M] {S T : AddSubmonoid M}, S = T ↔ ∀ (x : M), x ∈ S ↔ x ∈ T- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext, Quot.sound
- Assumes
- AddZeroClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.extproof · cited by 32
Cited by1
Results whose statement or proof uses this declaration.
- AddCommMonoid.torsion_sumproof · cited by 0