Theorems · Theorem · nonassociative algebras
RootPairing.IsBalanced.isPerfectCompl
∀ {ι : Type u_1} {R : Type u_2} {M : Type u_3} {N : Type u_4} {inst : AddCommGroup M} {inst_1 : AddCommGroup N}
{inst_2 : CommRing R} {inst_3 : Module R M} {inst_4 : Module R N} {P : RootPairing ι R M N} [self : P.IsBalanced],
P.IsPerfectCompl (P.rootSpan R) (P.corootSpan R)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Quot.sound
- Assumes
- RootPairing.IsBalanced
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- CommRingstatement and proof · cited by 17,173
- AddCommGroupstatement and proof · cited by 12,871
- RootPairingstatement and proof · cited by 710
- RootPairing.toLinearMapstatement · cited by 108
- RootPairing.rootSpanstatement · cited by 55
- RootPairing.corootSpanstatement · cited by 31
- LinearMap.IsPerfectComplstatement · cited by 10
- RootPairing.IsBalancedstatement and proof · cited by 6
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.