Theorems · Theorem · order theory
mulPosMono_iff_mulPosStrictMono
∀ {α : Type u_1} [inst : MonoidWithZero α] [inst_1 : PartialOrder α] [IsRightCancelMulZero α],
MulPosMono α ↔ MulPosStrictMono α- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PartialOrderstatement and proof · cited by 6,410
- MonoidWithZerostatement and proof · cited by 456
- MulPosMonostatement and proof · cited by 128
- MulPosStrictMonostatement and proof · cited by 94
- IsRightCancelMulZerostatement and proof · cited by 33
- MulPosMono.toMulPosStrictMonoproof · cited by 1
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