Theorems · Theorem · number theory

Finset.MulETransform.card

∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Group α] (e : α) (x : Finset α × Finset α),
  (Finset.mulETransformLeft e x).1.card + (Finset.mulETransformLeft e x).2.card +
      ((Finset.mulETransformRight e x).1.card + (Finset.mulETransformRight e x).2.card) =
    x.1.card + x.2.card + (x.1.card + x.2.card)

This statement is meant to be combined with le_or_lt_of_add_le_add and similar lemmas.

Defined in

Mathlib.Combinatorics.Additive.ETransform

Cited by

1 results in Mathlib

Foundations

Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DecidableEqGroup