Theorems · Theorem · functional analysis
Submodule.isTopCompl_top_bot
∀ {R : Type u_1} [inst : Ring R] {M : Type u_2} [inst_1 : TopologicalSpace M] [inst_2 : AddCommGroup M]
[inst_3 : Module R M], Submodule.IsTopCompl ⊤ ⊥- Cited by
- 1 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- AddCommGroupstatement and proof · cited by 12,871
- Top.topstatement · cited by 9,680
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- Bot.botstatement and proof · cited by 4,720
- ContinuousLinearMap.idproof · cited by 233
- IsIdempotentElemproof · cited by 217
- Submodule.IsTopComplstatement and proof · cited by 89
- LinearMap.range_idproof · cited by 9
- IsIdempotentElem.oneproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Submodule.closedComplemented_topproof · cited by 0