Theorems · Theorem · functional analysis
QuasispectrumRestricts.map_zero
∀ {R : Type u_3} {S : Type u_4} {A : Type u_5} [inst : Semifield R] [inst_1 : Field S] [inst_2 : NonUnitalRing A]
[inst_3 : Module R A] [inst_4 : Module S A] [inst_5 : Algebra R S] {a : A} {f : S → R},
QuasispectrumRestricts a f → f 0 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Quot.sound
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
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapproof · cited by 4,706
- map_zeroproof · cited by 1,614
- Semifieldstatement and proof · cited by 439
- NonUnitalRingstatement and proof · cited by 422
- QuasispectrumRestrictsstatement and proof · cited by 50
- QuasispectrumRestricts.left_invproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- QuasispectrumRestricts.cfcₙ_eq_restrictproof · cited by 2