Theorems · Theorem · commutative algebra
RingHom.domRestrict_comp_rangeRestrict
∀ {R : Type u} {S : Type v} {T : Type w} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] [inst_2 : NonAssocRing T]
(g : S →+* T) (f : R →+* S), (g.domRestrict f.range).comp f.rangeRestrict = g.comp f- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- RingHom.compstatement · cited by 899
- Subringstatement · cited by 602
- NonAssocRingstatement and proof · cited by 483
- RingHom.rangestatement · cited by 138
- RingHom.rangeRestrictstatement · cited by 13
- RingHom.domRestrictstatement · cited by 5
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