Theorems · Theorem · group theory
MulEquiv.toMonoidHom_injective
∀ {M : Type u_4} {N : Type u_5} [inst : MulOneClass M] [inst_1 : MulOneClass N], Function.Injective MulEquiv.toMonoidHom- Defined in
- Mathlib.Algebra.Group.Equiv.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses Quot.sound
- Assumes
- MulOneClassMulOneClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MonoidHomstatement · cited by 3,629
- MulEquivstatement · cited by 1,142
- MulOneClassstatement and proof · cited by 1,018
- DFunLike.coe_injectiveproof · cited by 161
- MulEquiv.toMonoidHomstatement · cited by 126
- Function.Injective.of_compproof · cited by 82
Cited by6
Results whose statement or proof uses this declaration.
- CoxeterSystem.simple_determines_coxeterSystemproof · cited by 0
- abelianizationCongr_transproof · cited by 0
- MulEquiv.eq_iff_eq_on_generatorproof · cited by 0
- MulEquiv.withOneCongr_reflproof · cited by 0
- MulEquiv.withOneCongr_transproof · cited by 0
- abelianizationCongr_reflproof · cited by 0