Theorems · Theorem · group theory
Submonoid.map_inl
∀ {N : Type u_2} [inst : MulOneClass N] {M : Type u_5} [inst_1 : MulOneClass M] (s : Submonoid M),
Submonoid.map (MonoidHom.inl M N) s = s.prod ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Quot.sound
- Assumes
- MulOneClassMulOneClass
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.
- DFunLike.coeproof · cited by 62,936
- SetLike.coeproof · cited by 8,199
- Bot.botstatement and proof · cited by 4,720
- MonoidHomstatement · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.mapstatement and proof · cited by 190
- Set.mem_singletonproof · cited by 183
- Submonoid.extproof · cited by 48
- MonoidHom.inlstatement and proof · cited by 32
- Submonoid.prodstatement and proof · cited by 27
- Set.eq_of_mem_singletonproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.mrange_inlproof · cited by 2