Theorems · Theorem · ring theory
AlgEquiv.autCongr_symm
∀ {R : Type uR} {A₁ : Type uA₁} {A₂ : Type uA₂} [inst : CommSemiring R] [inst_1 : Semiring A₁] [inst_2 : Semiring A₂]
[inst_3 : Algebra R A₁] [inst_4 : Algebra R A₂] (ϕ : A₁ ≃ₐ[R] A₂), ϕ.autCongr.symm = ϕ.symm.autCongr- Defined in
- Mathlib.Algebra.Algebra.Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgEquivstatement and proof · cited by 1,681
- MulEquivstatement · cited by 1,142
- AlgEquiv.symmstatement · cited by 615
- MulEquiv.symmstatement · cited by 482
- AlgEquiv.autCongrstatement · cited by 5
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