Theorems · Theorem · operator theory
ContinuousLinearEquiv.quotKerEquivRange.congr_simp
∀ {R : Type u_1} {M : Type u_3} {Nₗ : Type u_5} [inst : Ring R] [inst_1 : AddCommGroup M] [inst_2 : AddCommGroup Nₗ]
[inst_3 : Module R M] [inst_4 : Module R Nₗ] {fₗ : M →ₗ[R] Nₗ} [inst_5 : TopologicalSpace M]
[inst_6 : TopologicalSpace Nₗ] (hf : Topology.IsStrictMap ⇑fₗ),
ContinuousLinearEquiv.quotKerEquivRange hf = ContinuousLinearEquiv.quotKerEquivRange hf- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- TopologicalSpacestatement and proof · cited by 24,529
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- LinearMapstatement and proof · cited by 10,215
- Ringstatement and proof · cited by 7,463
- Submodulestatement · cited by 7,192
- HasQuotient.Quotientstatement · cited by 2,301
- LinearMap.rangestatement · cited by 893
- LinearMap.kerstatement · cited by 848
- ContinuousLinearEquivstatement · cited by 743
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