Theorems · Theorem · group theory
OneMemClass.coe_one
∀ {A : Type u_3} {M₁ : Type u_4} [inst : SetLike A M₁] [inst_1 : One M₁] [hA : OneMemClass A M₁] (S' : A), ↑1 = 1- Defined in
- Mathlib.Algebra.Group.Submonoid.Defs
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- SetLikeOneOneMemClass
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLikestatement and proof · cited by 1,084
- OneMemClassstatement and proof · cited by 21
Cited by10
Results whose statement or proof uses this declaration.
- Polynomial.monic_toSubringproof · cited by 3
- IsLocalizedModule.mk'_cancelproof · cited by 3
- FractionalIdeal.coeIdeal_absNormproof · cited by 2
- Polynomial.monic_restrictionproof · cited by 1
- NumberField.IsCMField.unitsMulComplexConjInv_kerproof · cited by 1
- IsCyclotomicExtension.Rat.galEquivZMod_smul_of_pow_eqproof · cited by 1
- Ideal.associatesNonZeroDivisorsEquivIsPrincipal_map_oneproof · cited by 0
- Polynomial.toSubring_oneproof · cited by 0
- SpecialLinearGroup.centerEquivRootsOfUnity_apply_of_finrank_le_oneproof · cited by 0
- Equiv.Perm.Basis.ofPermHomFun_oneproof · cited by 0