Theorems · Theorem · functional analysis
IsQuasiregular.map
∀ {F : Type u_1} {R : Type u_2} {S : Type u_3} [inst : NonUnitalSemiring R] [inst_1 : NonUnitalSemiring S]
[inst_2 : FunLike F R S] [NonUnitalRingHomClass F R S] (f : F) {x : R}, IsQuasiregular x → IsQuasiregular (f x)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 20 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.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- map_zeroproof · cited by 1,614
- map_mulproof · cited by 1,137
- map_addproof · cited by 964
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalRingHomClassstatement and proof · cited by 82
- IsQuasiregularstatement and proof · cited by 18
- isQuasiregular_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- NonUnitalAlgHom.quasispectrum_apply_subset'proof · cited by 2
- Unitization.isQuasiregular_inr_iffproof · cited by 2