Theorems · Theorem · commutative algebra
Subsemiring.map_equiv_eq_comap_symm
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (f : R ≃+* S) (K : Subsemiring R),
Subsemiring.map (↑f) K = Subsemiring.comap (↑f.symm) K- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- RingEquivstatement and proof · cited by 1,147
- NonAssocSemiringstatement and proof · cited by 805
- RingHomClass.toRingHomstatement and proof · cited by 746
- RingEquiv.symmstatement and proof · cited by 567
- Subsemiringstatement and proof · cited by 456
- SetLike.coe_injectiveproof · cited by 374
- RingEquiv.toEquivproof · cited by 101
- Equiv.image_eq_preimage_symmproof · cited by 64
- Subsemiring.mapstatement and proof · cited by 29
- Subsemiring.comapstatement and proof · cited by 20
Cited by1
Results whose statement or proof uses this declaration.
- Subsemiring.comap_equiv_eq_map_symmproof · cited by 0