Mathlib Map

Theorems · Theorem · order theory

mul_pos

∀ {α : Type u_1} [inst : MulZeroClass α] {a b : α} [inst_1 : Preorder α] [PosMulStrictMono α], 0 < a → 0 < b → 0 < a * b

Alias of Left.mul_pos. Assumes left covariance.

Defined in
Mathlib.Algebra.Order.GroupWithZero.Basic
Cited by
374 results in Mathlib
Foundations
Depth 7 from the axioms, rests on 23 definitions · uses no axioms
Assumes
MulZeroClassPreorderPosMulStrictMono

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Cited by374

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