Theorems · Theorem · functional analysis
IsConformalMap.smul
∀ {R : Type u_1} {M : Type u_2} {N : Type u_3} [inst : NormedField R] [inst_1 : SeminormedAddCommGroup M]
[inst_2 : SeminormedAddCommGroup N] [inst_3 : NormedSpace R M] [inst_4 : NormedSpace R N] {f : M →L[R] N},
IsConformalMap f → ∀ {c : R}, c ≠ 0 → IsConformalMap (c • f)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 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.
- RingHom.idstatement and proof · cited by 18,349
- NormedSpacestatement and proof · cited by 12,499
- ContinuousLinearMapstatement and proof · cited by 5,352
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- NormedFieldstatement and proof · cited by 1,084
- smul_smulproof · cited by 360
- LinearIsometryproof · cited by 194
- mul_ne_zeroproof · cited by 178
- LinearIsometry.toContinuousLinearMapproof · cited by 47
- IsConformalMapstatement and proof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- isConformalMap_const_smulproof · cited by 1