Theorems · Definition · linear algebra
LinearPMap.inverse
{R : Type u_1} →
[inst : Ring R] →
{E : Type u_4} →
[inst_1 : AddCommGroup E] →
[inst_2 : Module R E] →
{F : Type u_5} → [inst_3 : AddCommGroup F] → [inst_4 : Module R F] → (E →ₗ.[R] F) → F →ₗ.[R] EThe inverse of a LinearPMap.
- Defined in
- Mathlib.LinearAlgebra.LinearPMap
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 34 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.
- Modulestatement and proof · cited by 20,661
- RingHom.idstatement and proof · cited by 18,349
- AddCommGroupstatement and proof · cited by 12,871
- Ringstatement and proof · cited by 7,463
- LinearEquiv.toLinearMapproof · cited by 1,171
- Submodule.mapproof · cited by 614
- LinearPMapstatement and proof · cited by 179
- LinearPMap.graphproof · cited by 39
- LinearEquiv.prodCommproof · cited by 17
- Submodule.toLinearPMapproof · cited by 7
Cited by9
Results whose statement or proof uses this declaration.
- LinearPMap.inverse_graphstatement · cited by 4
- LinearPMap.closure_inverse_graphstatement and proof · cited by 2
- LinearPMap.inverse_isClosable_iffstatement and proof · cited by 1
- LinearPMap.mem_inverse_graphstatement · cited by 1
- LinearPMap.inverse_closurestatement and proof · cited by 0
- LinearPMap.inverse_domainstatement · cited by 0
- LinearPMap.inverse_rangestatement · cited by 0
- LinearPMap.inverse_apply_eqstatement and proof · cited by 0
- LinearPMap.inverse_closed_iffstatement and proof · cited by 0