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Theorems · Theorem · real analysis

ENNReal.mul_lt_mul

∀ {a b c d : ENNReal}, a < c → b < d → a * b < c * d
Defined in
Mathlib.Data.ENNReal.Operations
Cited by
5 results in Mathlib
Foundations
Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

ENNReal.tendsto_mul · cited by 1ENNReal.tendsto_mulENNReal.limsup_mul_le' · cited by 0ENNReal.limsup_mul_le'ENNReal.liminf_mul_le · cited by 0ENNReal.liminf_mul_leENNReal.le_liminf_mul · cited by 0ENNReal.le_liminf_mulENNReal.le_limsup_mul · cited by 0ENNReal.le_limsup_mulENNReal · cited by 9879ENNRealWithTop.mul_lt_mul · cited by 1WithTop.mul_lt_mulENNReal.mul_lt_mulCITED BYCITES

Cites2

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

Cited by5

Results whose statement or proof uses this declaration.