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Theorems · Theorem · ring theory

Subsemiring.unop_bot

∀ {R : Type u_2} [inst : NonAssocSemiring R], ⊥.unop = ⊥
Defined in
Mathlib.Algebra.Ring.Subsemiring.MulOpposite
Cited by
1 results in Mathlib
Foundations
Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NonAssocSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subsemiring.unop_eq_bot · cited by 0Subsemiring.unop_eq_botBot.bot · cited by 4720Bot.botMulOpposite · cited by 1135MulOppositeNonAssocSemiring · cited by 805NonAssocSemiringOrderIso.symm · cited by 475OrderIso.symmSubsemiring · cited by 456SubsemiringOrderIso.map_bot · cited by 30OrderIso.map_botSubsemiring.unop · cited by 26Subsemiring.unopSubsemiring.opEquiv · cited by 18Subsemiring.opEquivSubsemiring.unop_botCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.