Theorems · Theorem · commutative algebra
Subring.prod_mono_right
∀ {R : Type u} {S : Type v} [inst : NonAssocRing R] [inst_1 : NonAssocRing S] (s : Subring R),
Monotone fun t => s.prod t- Defined in
- Mathlib.Algebra.Ring.Subring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- NonAssocRingNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- le_reflproof · cited by 2,061
- Monotonestatement · cited by 1,397
- Subringstatement and proof · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.prodstatement · cited by 11
- Subring.prod_monoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subring.prod_bot_sup_bot_prodproof · cited by 0