Theorems · Theorem · sequences and series
arithGeom_strictMono
∀ {R : Type u_1} {a b u₀ : R} [inst : Field R] [inst_1 : LinearOrder R] [IsStrictOrderedRing R],
1 < a → b / (1 - a) < u₀ → StrictMono (arithGeom a b u₀)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Fieldstatement and proof · cited by 7,404
- Nat.cast_oneproof · cited by 2,501
- IsStrictOrderedRingstatement and proof · cited by 2,490
- Nat.cast_zeroproof · cited by 1,870
- LT.lt.ne'proof · cited by 1,417
- StrictMonostatement · cited by 706
- lt_of_not_geproof · cited by 374
- lt_transproof · cited by 165
- sub_negproof · cited by 22
- strictMono_nat_of_lt_succproof · cited by 21
- arithGeomstatement and proof · cited by 16
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Fernique.normThreshold_strictMonoproof · cited by 1