quotQuotEquivComm_symm — Mathlib

English

The quotient isomorphism quotQuotEquivComm I J is its own inverse up to swapping the two ideals, i.e., (quotQuotEquivComm I J) symm = quotQuotEquivComm J I.

Русский

Изоморфизм квотирования quotQuotEquivComm I J обратно сопряжён к обмену идей между I и J: стоит (quotQuotEquivComm I J)^{-1} = quotQuotEquivComm J I.

LaTeX

$$$(\quotQuotEquivComm I J)^{-1} = \quotQuotEquivComm J I$$$

Lean4

@[simp]
theorem quotQuotEquivComm_symm : (quotQuotEquivComm I J).symm = quotQuotEquivComm J I := by rfl

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