Theorems · Theorem · commutative algebra

factor_orderIso_map_one_eq_bot

∀ {M : Type u_1} [inst : CommMonoidWithZero M] [IsCancelMulZero M] {N : Type u_2} [inst_2 : CommMonoidWithZero N]
  [IsCancelMulZero N] {m : Associates M} {n : Associates N} (d : { l // l ≤ m } ≃o { l // l ≤ n }), ↑(d ⟨1, ⋯⟩) = 1

Defined in

Mathlib.RingTheory.ChainOfDivisors

Cited by

1 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommMonoidWithZeroIsCancelMulZeroCommMonoidWithZeroIsCancelMulZero