Theorems · Theorem · group theory
coe_add_coe
∀ {M : Type u_3} {S : Type u_6} [inst : AddMonoid M] [inst_1 : SetLike S M] [AddSubmonoidClass S M] (H : S),
↑H + ↑H = ↑H- Cited by
- 3 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- AddMonoidstatement and proof · cited by 2,864
- zero_addproof · cited by 2,366
- Set.extproof · cited by 2,266
- SetLikestatement and proof · cited by 1,084
- AddSubmonoidClassstatement and proof · cited by 346
- Set.addstatement · cited by 338
- SetLike.mem_coeproof · cited by 302
- AddMemClass.add_memproof · cited by 229
- ZeroMemClass.zero_memproof · cited by 162
- Set.mem_addproof · cited by 25
Cited by3
Results whose statement or proof uses this declaration.
- FiniteDimensional.of_totallyBounded_nhds_zeroproof · cited by 3
- AddSubmonoid.coe_add_self_eqproof · cited by 0
- coe_sub_coeproof · cited by 0