Theorems · Theorem · commutative algebra
Subring.range_subtype
∀ {R : Type u} [inst : NonAssocRing R] (s : Subring R), s.subtype.range = s- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonAssocRing
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.
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- SetLike.coe_injectiveproof · cited by 374
- RingHom.rangestatement and proof · cited by 138
- Subtype.range_coeproof · cited by 98
- Subring.subtypestatement and proof · cited by 22
- RingHom.coe_rangeSproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Subalgebra.range_algebraMapproof · cited by 3