Theorems · Theorem · ring theory
Subalgebra.comap_map_eq_self
∀ {R : Type uR} {A : Type uA} {B : Type uB} [inst : CommSemiring R] [inst_1 : Ring A] [inst_2 : Algebra R A]
[inst_3 : Ring B] [inst_4 : Algebra R B] {f : A →ₐ[R] B} {S : Subalgebra R A},
⇑f ⁻¹' {0} ⊆ ↑S → Subalgebra.comap f (Subalgebra.map f S) = S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- Algebra.adjoin_le_iffproof · cited by 26
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