Theorems · Theorem · commutative algebra
Subring.range_fst
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S], (RingHom.fst R S).rangeS = ⊤- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRingNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- NonAssocRingstatement and proof · cited by 483
- Subsemiringstatement · cited by 456
- RingHom.rangeSstatement · cited by 47
- RingHom.fststatement and proof · cited by 36
- Prod.fst_surjectiveproof · cited by 22
- RingHom.rangeS_top_of_surjectiveproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.