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Theorems · Theorem · group theory

Finset.Nonempty.add

∀ {α : Type u_2} [inst : DecidableEq α] [inst_1 : Add α] {s t : Finset α}, s.Nonempty → t.Nonempty → (s + t).Nonempty
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
2 results in Mathlib
Foundations
Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqAdd
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

UniqueSums.of_same · cited by 0UniqueSums.of_sameUniqueSums.toTwoUniqueSums_of_addGroup · cited by 0UniqueSums.toTwoUniqueSum…Finset · cited by 13712FinsetFinset.Nonempty · cited by 1001Finset.NonemptyFinset.add · cited by 133Finset.addFinset.Nonempty.image₂ · cited by 10Nonempty.image₂Nonempty.addCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.