Theorems · Theorem · ring theory
AlgEquiv.subalgebraMap_symm_apply_coe
∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Semiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] (e : A ≃ₐ[R] B) (S : Subalgebra R A)
(y : ↑(⇑↑e.toRingEquiv.toAddEquiv '' ↑S.toAddSubmonoid)), ↑((e.subalgebraMap S).symm y) = e.symm ↑y- Defined in
- Mathlib.Algebra.Algebra.Subalgebra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
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- DFunLike.coestatement and proof · cited by 62,936
- Setstatement · cited by 53,352
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- Equivstatement · cited by 8,337
- SetLike.coestatement and proof · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- Set.imagestatement and proof · cited by 5,609
- AlgEquivstatement and proof · cited by 1,681
- Subalgebrastatement and proof · cited by 1,353
- AddSubmonoidstatement · cited by 1,178
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