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Theorems · Theorem · order theory

posMulReflectLT_iff_mulPosReflectLT

∀ {α : Type u_1} [inst : Mul α] [inst_1 : Zero α] [inst_2 : Preorder α] [IsMulCommutative α],
  PosMulReflectLT α ↔ MulPosReflectLT α
Defined in
Mathlib.Algebra.Order.GroupWithZero.Defs
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
MulZeroPreorderIsMulCommutative
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Around this declaration

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

PosMulReflectLT.toMulPosReflectLT · cited by 0PosMulReflectLT.toMulPosR…Preorder · cited by 7952PreorderPosMulReflectLT · cited by 278PosMulReflectLTIsMulCommutative · cited by 95IsMulCommutativeMulPosReflectLT · cited by 93MulPosReflectLTContravariantClass · cited by 15ContravariantClassmul_comm' · cited by 12mul_comm'posMulReflectLT_iff_mulPosRef…CITED BYCITES

Cites6

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Cited by1

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