Theorems · Definition · functional analysis
Equiv.seminormedAddCommGroup
{α : Type u_1} → {β : Type u_2} → [SeminormedAddCommGroup β] → α ≃ β → SeminormedAddCommGroup αTransfer a SeminormedAddCommGroup across an Equiv
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 121 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement and proof · cited by 8,337
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- PseudoMetricSpaceproof · cited by 1,550
- Equiv.addEquivproof · cited by 3
- SeminormedAddCommGroup.inducedproof · cited by 2
- Equiv.pseudometricSpaceproof · cited by 0
- SeminormedAddCommGroup.dist_eqproof · cited by 0
Cited by1
Results whose statement or proof uses this declaration.
- Equiv.normedSpacestatement · cited by 0