AdditiveComplement.lean`

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

2 declarations, 0 contain sorry, 0 declared as axioms

Additive complements

Two sets of naturals are additive complements when their sumset contains every large integer.

Imports (3)

Imported by 1 file

FormalConjecturesForMathlib.lean

def IsAdditiveComplement A and B are additive complements if A + B contains all large integers line 36 source
Source documentation
A and B are additive complements if A + B contains all large integers.

standard axioms: Quot.sound, propext what this means
Statement uses: Set, Nat
Proof uses: Filter.Eventually, Membership.mem, HAdd.hAdd, Filter.atTop
5 instances, coercions and auxiliary constants left out.
```
def IsAdditiveComplement (A B : Set ℕ) : Prop :=
…
```
theorem IsAdditiveComplement.symm line 39 source
standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Set, Nat, IsAdditiveComplement
Proof uses: Filter.mp_mem, Filter.atTop, Set.ofPred, Membership.mem, HAdd.hAdd, Filter.univ_mem', id, Eq.mpr, Eq, congrArg, AddCommMonoid.add_comm
10 instances, coercions and auxiliary constants left out.

Tactic trace: 2 steps
Open to load the checked before-and-after goal states.