Theorems · Definition · order theory

RelIso.relHomCongr

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

Transport a RelHom across a pair of RelIsos, by pre- and post-composition. This is Equiv.arrowCongr for RelHom.

Defined in

Mathlib.Order.RelIso.Basic

Cited by

4 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound