Theorems · Definition · functional analysis
QuotientAddGroup.quotientBotIsometryEquiv
{M : Type u_1} → [inst : SeminormedAddCommGroup M] → M ⧸ ⊥ ≃ᵢ MAn isometric version of QuotientAddGroup.quotientBot.
- 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
- SeminormedAddCommGroup
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bot.botstatement and proof · cited by 4,720
- AddSubgroupstatement · cited by 3,232
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- HasQuotient.Quotientstatement and proof · cited by 2,301
- AddEquivproof · cited by 1,087
- IsometryEquivstatement · cited by 177
- AddEquiv.toEquivproof · cited by 174
- QuotientAddGroup.quotientBotproof · cited by 3
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