Theorems · Theorem · functional analysis
ContinuousLinearEquiv.rightInverse_hasRightInverse
∀ {R : Type u_1} [inst : Semiring R] {E : Type u_2} {F : Type u_4} [inst_1 : TopologicalSpace E]
[inst_2 : AddCommMonoid E] [inst_3 : Module R E] [inst_4 : TopologicalSpace F] [inst_5 : AddCommMonoid F]
[inst_6 : Module R F] (f : E ≃L[R] F), ⋯.rightInverse = ↑f.symm- Cited by
- 0 results in Mathlib
- Foundations
- Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · 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
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- ContinuousLinearMapstatement · cited by 5,352
- ContinuousLinearEquivstatement and proof · cited by 743
- ContinuousLinearEquiv.toContinuousLinearMapstatement and proof · cited by 448
- ContinuousLinearEquiv.symmstatement and proof · cited by 368
- ContinuousLinearMap.extproof · cited by 320
- ContinuousLinearEquiv.apply_symm_applyproof · cited by 36
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