Theorems · Theorem · commutative algebra

RingHom.closure_preimage_le

∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] (f : R →+* S) (s : Set S),
  Subring.closure (⇑f ⁻¹' s) ≤ Subring.comap f (Subring.closure s)

Defined in

Mathlib.Algebra.Ring.Subring.Basic

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NonAssocRingNonAssocRing