Theorems · Theorem · commutative algebra
Subring.comap_map_eq_self
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] {f : R →+* S} {s : Subring R},
⇑f ⁻¹' {0} ⊆ ↑s → Subring.comap f (Subring.map f s) = s- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRingNonAssocRing
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- NonAssocRingstatement and proof · cited by 483
- Subring.closureproof · cited by 78
- Subring.mapstatement and proof · cited by 33
- Subring.comapstatement and proof · cited by 22
- Subring.closure_leproof · cited by 14
- left_eq_supproof · cited by 5
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