Theorems · Theorem · functional analysis
WithCStarModule.ext
∀ {A : Type u_1} {ι : Type u_2} {E : ι → Type u_3} {x y : WithCStarModule A ((i : ι) → E i)},
(∀ (i : ι), x i = y i) → x = y- Cited by
- 3 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- WithCStarModulestatement and proof · cited by 66
Cited by3
Results whose statement or proof uses this declaration.
- CStarMatrix.toCLM_apply_singleproof · cited by 2
- CStarMatrix.toCLM_apply_eq_sumproof · cited by 1
- WithCStarModule.ext_iffproof · cited by 0