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Theorems · Definition · order theory

RelIso.prodLexCongr

{α₁ : Type u_5} →
  {α₂ : Type u_6} →
    {β₁ : Type u_7} →
      {β₂ : Type u_8} →
        {r₁ : α₁ → α₁ → Prop} →
          {r₂ : α₂ → α₂ → Prop} →
            {s₁ : β₁ → β₁ → Prop} → {s₂ : β₂ → β₂ → Prop} → r₁ ≃r s₁ → r₂ ≃r s₂ → Prod.Lex r₁ r₂ ≃r Prod.Lex s₁ s₂

Given relation isomorphisms r₁ ≃r s₁ and r₂ ≃r s₂, construct a relation isomorphism for the lexicographic orders on the product.

Defined in
Mathlib.Order.RelIso.Basic
Cited by
1 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Quot.sound
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Ordinal.lift_mul · cited by 0Ordinal.lift_mulRelIso · cited by 456RelIsoRelIso.toEquiv · cited by 113RelIso.toEquivEquiv.prodCongr · cited by 24Equiv.prodCongrRelIso.prodLexCongrCITED BYCITES

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