Theorems · Theorem · functional analysis
ContinuousLinearMap.inverse_id
∀ {R : Type u_1} {M : Type u_2} [inst : TopologicalSpace M] [inst_1 : Semiring R] [inst_2 : AddCommMonoid M]
[inst_3 : Module R M], (ContinuousLinearMap.id R M).inverse = ContinuousLinearMap.id R M- Defined in
- Mathlib.Topology.Algebra.Module.Equiv
- Cited by
- 6 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.
Cites10
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
- RingHom.idstatement and proof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- AddCommMonoidstatement and proof · cited by 12,281
- ContinuousLinearMapstatement and proof · cited by 5,352
- ContinuousLinearMap.idstatement and proof · cited by 233
- ContinuousLinearMap.inversestatement · cited by 82
- Ring.inverse_oneproof · cited by 5
- ContinuousLinearMap.ringInverse_eq_inverseproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- VectorField.eventuallyEq_mpullback_mpullbackWithin_extChartAtproof · cited by 2
- VectorField.mlieBracketWithin_eq_lieBracketWithinproof · cited by 2
- VectorField.mpullback_idproof · cited by 1
- mfderivWithin_extChartAt_symm_inverse_applyproof · cited by 1
- VectorField.mpullbackWithin_idproof · cited by 0