Theorems · Definition · functional analysis
Subgroup.quotientIsometryEquivOfEq
{M : Type u_1} → [inst : SeminormedCommGroup M] → {S T : Subgroup M} → S = T → M ⧸ S ≃ᵢ M ⧸ TAn isometric version of Subgroup.quotientEquivOfEq.
- Defined in
- Mathlib.Analysis.Normed.Group.Quotient
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 167 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedCommGroup
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- Subgroupstatement and proof · cited by 3,593
- HasQuotient.Quotientstatement and proof · cited by 2,301
- SeminormedCommGroupstatement and proof · cited by 191
- IsometryEquivstatement · cited by 177
- Subgroup.quotientEquivOfEqproof · cited by 1
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