Theorems · Definition · functional analysis

ESeminormedAddCommMonoid.casesOn

{E : Type u_8} →
  [inst : TopologicalSpace E] →
    {motive : ESeminormedAddCommMonoid E → Sort u} →
      (t : ESeminormedAddCommMonoid E) →
        ([toESeminormedAddMonoid : ESeminormedAddMonoid E] →
            (add_comm : ∀ (a b : E), a + b = b + a) →
              motive { toESeminormedAddMonoid := toESeminormedAddMonoid, add_comm := add_comm }) →
          motive t

Defined in: Mathlib.Analysis.Normed.Group.Defs
Cited by: 0 results in Mathlib
Foundations: Depth 6 from the axioms · uses no axioms
Assumes: TopologicalSpace

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TopologicalSpacestatement and proof · cited by 24,529
ESeminormedAddMonoidstatement and proof · cited by 133
ESeminormedAddCommMonoidstatement and proof · cited by 21

Cited by2

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ESeminormedAddCommMonoid.noConfusionproof · cited by 0
ESeminormedAddCommMonoid.noConfusionTypeproof · cited by 0