Theorems · Theorem · ring theory
NonUnitalSubsemiring.map_bot
∀ {R : Type u} {S : Type v} [inst : NonUnitalNonAssocSemiring R] [inst_1 : NonUnitalNonAssocSemiring S] {F : Type u_1}
[inst_2 : FunLike F R S] [inst_3 : NonUnitalRingHomClass F R S] (f : F), NonUnitalSubsemiring.map f ⊥ = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement · cited by 4,720
- FunLikestatement and proof · cited by 2,560
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- NonUnitalSubsemiringstatement · cited by 201
- NonUnitalRingHomClassstatement and proof · cited by 82
- GaloisConnection.l_botproof · cited by 63
- NonUnitalSubsemiring.mapstatement · cited by 22
- NonUnitalSubsemiring.gc_map_comapproof · cited by 7
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