finCongr_eq_equivCast — Mathlib

English

For h : n = m, finCongr h equals the cast equivalence cast (h ▸ rfl).

Русский

Для h : n = m фин-конгруэнтность h совпадает с эквивалентностью приведения cast (h ▸ rfl).

LaTeX

$$$$ \\text{finCongr}(h) = \\mathrm{cast}\\,(h \\;\\triangleright\\; \\mathrm{rfl}). $$$$

Lean4

/-- While in many cases `finCongr` is better than `Equiv.cast`/`cast`, sometimes we want to apply
a generic theorem about `cast`. -/
theorem _root_.finCongr_eq_equivCast (h : n = m) : finCongr h = .cast (h ▸ rfl) := by subst h; simp

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