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Theorems · Theorem · order theory

Monotone.monovary

∀ {ι : Type u_1} {α : Type u_3} {β : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] {f : ι → α} {g : ι → β}
  [inst_2 : LinearOrder ι], Monotone f → Monotone g → Monovary f g
Defined in
Mathlib.Order.Monotone.Monovary
Cited by
1 results in Mathlib
Foundations
Depth 17 from the axioms · uses propext
Assumes
PreorderPreorderLinearOrder
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Around this declaration

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

Monotone.antivary · cited by 1Monotone.antivaryLinearOrder · cited by 8572LinearOrderPreorder · cited by 7952PreorderLT.lt.le · cited by 2189lt.leMonotone · cited by 1397MonotoneMonovary · cited by 122MonovaryMonotone.reflect_lt · cited by 14Monotone.reflect_ltMonotone.monovaryCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.