Theorems · Theorem · linear algebra
LinearMap.index_id
∀ {M : Type u_1} [inst : AddCommGroup M] {R : Type u_3} [inst_1 : Ring R] [inst_2 : Module R M] [StrongRankCondition R],
LinearMap.id.index = 0- Defined in
- Mathlib.Algebra.Module.LinearMap.Index
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Top.topproof · cited by 9,680
- Ringstatement and proof · cited by 7,463
- Submoduleproof · cited by 7,192
- Bot.botproof · cited by 4,720
- Nontrivialproof · cited by 2,416
- HasQuotient.Quotientproof · cited by 2,301
- Nat.cast_zeroproof · cited by 1,870
- Module.finrankproof · cited by 1,770
- sub_selfproof · cited by 996
- LinearMap.kerproof · cited by 848
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.