Theorems · Theorem · group theory
OneHom.mk.congr_simp
∀ {M : Type u_10} {N : Type u_11} [inst : One M] [inst_1 : One N] (toFun toFun_1 : M → N) (e_toFun : toFun = toFun_1)
(map_one' : toFun 1 = 1), { toFun := toFun, map_one' := map_one' } = { toFun := toFun_1, map_one' := ⋯ }- Defined in
- Mathlib.Algebra.Group.Equiv.TypeTags
- Cited by
- 21 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- OneHomstatement · cited by 55
Cited by21
Results whose statement or proof uses this declaration.
- Traversable.toList_specproof · cited by 6
- QuadraticAlgebra.algebraMap_norm_eq_mul_starproof · cited by 4
- ArithmeticFunction.ofPowerSeries_applyproof · cited by 4
- PowerSeries.exp_mul_exp_eq_exp_addproof · cited by 2
- DirichletCharacter.changeLevel_selfproof · cited by 2
- ArithmeticFunction.ofPowerSeries_apply_oneproof · cited by 2
- SemidirectProduct.lift_uniqueproof · cited by 1
- SemidirectProduct.map_inlproof · cited by 1
- Subalgebra.centralizer_range_includeRight_eq_center_tensorProductproof · cited by 1
- ArithmeticFunction.ofPowerSeries_powproof · cited by 1
- MonoidHom.comp_noncommPiCoprodproof · cited by 1
- CoxeterSystem.getElem_succ_leftInvSeq_alternatingWordproof · cited by 1