Theorems · Theorem · commutative algebra
Module.length_bot
∀ {R : Type u_1} {M : Type u_2} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : Module R M], Module.length R ↥⊥ = 0- Defined in
- Mathlib.RingTheory.Length
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- RingAddCommGroupModule
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.
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- ENatstatement · cited by 4,985
- Bot.botstatement · cited by 4,720
- Module.lengthstatement · cited by 56
- Module.length_eq_zeroproof · cited by 9
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