Theorems · Theorem · ring theory
Subsemiring.smul_bot
∀ {M : Type u_1} {R : Type u_2} [inst : Monoid M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] (a : M),
a • ⊥ = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Bot.botstatement · cited by 4,720
- Monoidstatement and proof · cited by 3,887
- Subsemiringstatement · cited by 456
- MulSemiringActionstatement and proof · cited by 423
- MulSemiringAction.toRingHomproof · cited by 23
- Subsemiring.pointwiseMulActionstatement · cited by 22
- Subsemiring.map_botproof · cited by 1
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