Theorems · Theorem · commutative algebra
RingEquiv.subsemiringMap_symm_apply_coe
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (e : R ≃+* S) (s : Subsemiring R)
(x : ↥(Subsemiring.map e.toRingHom s)), ↑((e.subsemiringMap s).symm x) = e.symm ↑x- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- RingEquivstatement and proof · cited by 1,147
- NonAssocSemiringstatement and proof · cited by 805
- RingHomClass.toRingHomstatement · cited by 746
- RingEquiv.symmstatement · cited by 567
- Subsemiringstatement and proof · cited by 456
- RingEquiv.toRingHomstatement and proof · cited by 150
- Subsemiring.mapstatement and proof · cited by 29
- RingEquiv.subsemiringMapstatement · cited by 2
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