Theorems · Theorem · ring theory
NonUnitalSubsemiring.map_equiv_eq_comap_symm
∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S] (f : R ≃+* S)
(K : NonUnitalSubsemiring R), NonUnitalSubsemiring.map (↑f) K = NonUnitalSubsemiring.comap f.symm K- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- RingEquiv.symmstatement and proof · cited by 567
- SetLike.coe_injectiveproof · cited by 374
- NonUnitalSubsemiringstatement and proof · cited by 201
- NonUnitalRingHomstatement · cited by 157
- RingEquiv.toEquivproof · cited by 101
- Equiv.image_eq_preimage_symmproof · cited by 64
- NonUnitalRingHomClass.toNonUnitalRingHomstatement and proof · cited by 26
- NonUnitalSubsemiring.mapstatement and proof · cited by 22
- NonUnitalSubsemiring.comapstatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalSubsemiring.comap_equiv_eq_map_symmproof · cited by 0