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Theorems · Theorem · order theory

antivary_inv_right

∀ {ι : Type u_1} {α : Type u_2} {β : Type u_3} [inst : PartialOrder α] [inst_1 : CommGroup β] [inst_2 : PartialOrder β]
  [IsOrderedMonoid β] {f : ι → α} {g : ι → β}, Antivary f g⁻¹ ↔ Monovary f g
Defined in
Mathlib.Algebra.Order.Monovary
Cited by
2 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrderCommGroupPartialOrderIsOrderedMonoid
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Around this declaration

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

Monovary.inv_right · cited by 0Monovary.inv_rightAntivary.of_inv_right · cited by 0Antivary.of_inv_rightPartialOrder · cited by 6410PartialOrderCommGroup · cited by 990CommGroupIsOrderedMonoid · cited by 577IsOrderedMonoidMonovary · cited by 122MonovaryAntivary · cited by 121Antivaryantivary_inv_rightCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.