FormalConjecturesForMathlib/Combinatorics/Additive/RestrictedSumset.lean

GitHub source file

Explanation legend Lean4 Domain Explanation Language (L4DEL)

L4DEL explanations are a separate layer. They do not change the Lean source. Intuition is explanatory prose; numbered items are a reading path; sources link the wording back to evidence.

L4DEL
Lean4 Domain Explanation Language

Credit: The upstream authors and contributors retain credit for the project and mathematics. lean4-explainer only renders their pinned source and adds the separately disclosed explanation layer.

Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 0 contain sorry, 0 declared as axioms

Restricted sumsets

This file defines the restricted sumset $S \hat{+} S$ for a finite set $S$.

Imports (3)
Imported by 1 file
  1. def Finset.restrictedSumset The restricted sumset of a set $S$, denoted $S \hat{+} S$, is the set $\lbrace s_1 + s_2 : s_1, s_2 \in S, s_1 \neq s_2 \rbrace$ line 39 source

    Source documentation

    The restricted sumset of a set $S$, denoted $S \hat{+} S$, is the set $\lbrace s_1 + s_2 : s_1, s_2 \in S, s_1 \neq s_2 \rbrace$.

    standard axioms: Classical.choice, Quot.sound, propext what this means

    Statement uses: Add, DecidableEq, Finset

    Proof uses: Finset.image, Prod, HAdd.hAdd, Prod.fst, Prod.snd, Finset.offDiag

    1 instances, coercions and auxiliary constants left out.

    def restrictedSumset (S : Finset α) : Finset α :=
    …