Theorems · Theorem · order theory
Monovary.symm
∀ {ι : Type u_1} {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : LinearOrder β] {f : ι → α} {g : ι → β},
Monovary f g → Monovary g f- Defined in
- Mathlib.Order.Monotone.Monovary
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext
- Assumes
- PreorderLinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Preorderstatement and proof · cited by 7,952
- le_of_not_gtproof · cited by 430
- LT.lt.not_geproof · cited by 305
- Monovarystatement and proof · cited by 122
Cited by5
Results whose statement or proof uses this declaration.
- monovary_commproof · cited by 0
- Antivary.div_right₀proof · cited by 0
- Monovary.div_right₀proof · cited by 0
- Monovary.mul_right₀proof · cited by 0
- Monovary.pow_right₀proof · cited by 0