Theorems · Theorem · ring theory
Subring.op_bot
∀ {R : Type u_2} [inst : NonAssocRing R], ⊥.op = ⊥- Defined in
- Mathlib.Algebra.Ring.Subring.MulOpposite
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 72 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.
- Bot.botstatement · cited by 4,720
- MulOppositestatement · cited by 1,135
- Subringstatement · cited by 602
- NonAssocRingstatement and proof · cited by 483
- Subring.opstatement · cited by 32
- OrderIso.map_botproof · cited by 30
- Subring.opEquivproof · cited by 18
Cited by1
Results whose statement or proof uses this declaration.
- Subring.op_eq_botproof · cited by 0