Theorems · Theorem · group theory
Submonoid.map_coe_toMulEquiv
∀ {M : Type u_1} {N : Type u_2} [inst : MulOneClass M] [inst_1 : MulOneClass N] {F : Type u_5}
[inst_2 : EquivLike F M N] [inst_3 : MulEquivClass F M N] (f : F) (S : Submonoid M),
Submonoid.map (↑f) S = Submonoid.map f S- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement and proof · cited by 3,086
- MulEquivstatement · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- Submonoid.mapstatement · cited by 190
- EquivLikestatement and proof · cited by 165
- MulEquivClass.toMulEquivstatement · cited by 57
- MulEquivClassstatement and proof · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- IsLocalization.isLocalization_iff_of_base_ringEquivproof · cited by 2