Theorems · Theorem · group theory
Submonoid.FG.map_injective
∀ {M : Type u_1} [inst : Monoid M] {M' : Type u_3} [inst_1 : Monoid M'] {P : Submonoid M} (e : M →* M'),
Function.Injective ⇑e → (Submonoid.map e P).FG → P.FG- Defined in
- Mathlib.GroupTheory.Finiteness
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Finsetproof · cited by 13,712
- Top.topproof · cited by 9,680
- SetLike.coeproof · cited by 8,199
- Set.imageproof · cited by 5,609
- Set.preimageproof · cited by 4,946
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- MulOneClassproof · cited by 1,018
- le_topproof · cited by 411
Cited by1
Results whose statement or proof uses this declaration.
- Monoid.fg_iff_submonoid_fgproof · cited by 2