pith. machine review for the scientific record. sign in
theorem proved term proof

shiftOp_shiftInvOp

show as:
view Lean formalization →

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

generate prose now

formal statement (Lean)

 202theorem shiftOp_shiftInvOp (p : Nat.Primes) :
 203    shiftOp p ∘ₗ shiftInvOp p = LinearMap.id := by

proof body

Term-mode proof.

 204  ext v
 205  simp only [LinearMap.coe_comp, Function.comp_apply,
 206             shiftInvOp_single, shiftOp_single, Finsupp.lsingle_apply,
 207             LinearMap.id_apply]
 208  congr 1
 209  abel
 210

used by (1)

From the project-wide theorem graph. These declarations reference this one in their body.

depends on (9)

Lean names referenced from this declaration's body.