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Diff — Mathematical analysis

Revision #1386 → #2111 · back to history

addedTriangle inequality for a metriccf76288de454
addedSymmetry of a metric8243fbb94056
modifiedNon-negativity of a metricf1743900b2c5
FieldFrom #1386To #2111
note`dist_nonneg : 0 ≤ dist x y` is proved at line 251 of `Mathlib/Topology/MetricSpace/Pseudo/Defs.lean`.`dist_nonneg : 0 ≤ dist x y` is a basic consequence of the (pseudo)metric axioms in `Mathlib/Topology/MetricSpace/Pseudo/Defs.lean`.
modifiedConvergence of a sequence703805a98984
FieldFrom #1386To #2111
mathlib.moduleMathlib.Order.Filter.BasicMathlib.Order.Filter.Defs
addedContinuous function on topological spaces277543c645cb
modifiedDifferential equationa5fbefa41023
FieldFrom #1386To #2111
mathlib.moduleMathlib.Analysis.ODE.GronwallMathlib.Analysis.ODE.ExistUnique
noteMathlib's `Mathlib/Analysis/ODE/` formalizes ODE solutions (e.g., Picard–Lindelöf, Gronwall), but there is no general `DifferentialEquation` definition.Mathlib's `Mathlib/Analysis/ODE/` formalizes ODE solutions (e.g., Picard–Lindelöf uniqueness), but there is no general `DifferentialEquation` definition.
addedLebesgue measure on Euclidean space70ed1c429cc2
addedσ-algebra of measurable subsetse69b1d68fa23
addedCounting measure1f1afe56e9e0