Theorems · Theorem · commutative algebra
Ideal.map_evalRingHom_pi
∀ {ι : Type u_4} {R : ι → Type u_5} [inst : (i : ι) → Semiring (R i)] {I : (i : ι) → Ideal (R i)} (i : ι),
Ideal.map (Pi.evalRingHom R i) (Ideal.pi I) = I i- Defined in
- Mathlib.RingTheory.Ideal.Maps
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- Ideal.mapstatement · cited by 692
- Pi.singleproof · cited by 518
- Pi.single_eq_sameproof · cited by 144
- Ideal.extproof · cited by 131
- Pi.evalRingHomstatement and proof · cited by 44
- Ideal.mem_map_iff_of_surjectiveproof · cited by 19
- Function.surjective_evalproof · cited by 11
- Pi.evalRingHom_applyproof · cited by 11
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