Theorems · Theorem · group theory
Finset.Nontrivial.mul
∀ {α : Type u_2} [inst : Mul α] [IsLeftCancelMul α] [inst_2 : DecidableEq α] {s t : Finset α},
s.Nontrivial → t.Nontrivial → (s * t).Nontrivial- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.mulstatement · cited by 155
- Finset.Nontrivialstatement and proof · cited by 53
- IsLeftCancelMulstatement and proof · cited by 51
- Finset.Nontrivial.nonemptyproof · cited by 6
- Finset.Nontrivial.mul_leftproof · cited by 1
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