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Theorems · Theorem · order theory

le_div_self

∀ {α : Type u_2} [inst : Semifield α] [inst_1 : PartialOrder α] [PosMulReflectLT α] {a b : α},
  0 ≤ a → 0 < b → b ≤ 1 → a ≤ a / b
Defined in
Mathlib.Algebra.Order.Field.Basic
Cited by
1 results in Mathlib
Foundations
Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
SemifieldPartialOrderPosMulReflectLT
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Around this declaration

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

SzemerediRegularity.hundred_le_m · cited by 0SzemerediRegularity.hundr…PartialOrder · cited by 6410PartialOrderdiv_one · cited by 629div_oneSemifield · cited by 439SemifieldPosMulReflectLT · cited by 278PosMulReflectLTdiv_le_div_of_nonneg_left · cited by 6div_le_div_of_nonneg_leftle_div_selfCITED BYCITES

Cites5

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Cited by1

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