equiv — Mathlib

English

If i is a bijection J ≃ I, then OrthogonalIdempotents (e ∘ i) is equivalent to OrthogonalIdempotents e.

Русский

Если i — биекция J ≃ I, то OrthogonalIdempotents (e ∘ i) эквивалентно OrthogonalIdempotents e.

LaTeX

$$OrthogonalIdempotents (e ∘ i) ≃ OrthogonalIdempotents e$$

Lean4

theorem equiv {J} (i : J ≃ I) : OrthogonalIdempotents (e ∘ i) ↔ OrthogonalIdempotents e := by
  classical simp [iff_mul_eq, i.forall_congr_left]

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