Theorems · Theorem · commutative algebra
Submodule.neg_bot
∀ {R : Type u_2} {M : Type u_3} [inst : Semiring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M], -⊥ = ⊥- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringAddCommGroupModule
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- Semiringstatement and proof · cited by 13,802
- AddCommGroupstatement and proof · cited by 12,871
- Submodulestatement · cited by 7,192
- Bot.botstatement and proof · cited by 4,720
- neg_zeroproof · cited by 542
- SetLike.coe_injectiveproof · cited by 374
- Submodule.pointwiseNegstatement · cited by 20
- Set.neg_singletonproof · cited by 14
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