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Theorems · Inductive type · order theory

WithBot.LT

{α : Type u_1} → [LT α] → WithBot α → WithBot α → Prop

Auxiliary definition for the order on WithBot.

Defined in
Mathlib.Order.WithBot
Cited by
4 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
LT
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Metric.isOpen_thickening · cited by 11Metric.isOpen_thickeningMeasureTheory.Submartingale.expected_stoppedValue_mono · cited by 3Submartingale.expected_st…WithBot.LT.casesOn · cited by 2LT.casesOnMeasureTheory.MeasurePreserving.rnDeriv_comp_aeEq · cited by 1MeasurePreserving.rnDeriv…WithBot.lt_def_aux · cited by 1WithBot.lt_def_auxWithBot.LT.recOn · cited by 0LT.recOnWithBot · cited by 1498WithBotWithBot.LTCITED BYCITES

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.