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Theorems · Theorem · group theory

Finset.Nontrivial.add_left

∀ {α : Type u_2} [inst : Add α] [IsLeftCancelAdd α] [inst_2 : DecidableEq α] {s t : Finset α},
  t.Nontrivial → s.Nonempty → (s + t).Nontrivial
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddIsLeftCancelAddDecidableEq
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Around this declaration

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

Finset.Nontrivial.add · cited by 0Nontrivial.addFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeFinset.Nonempty · cited by 1001Finset.NonemptyFinset.add · cited by 133Finset.addIsLeftCancelAdd · cited by 72IsLeftCancelAddadd_right_inj · cited by 71add_right_injFinset.Nontrivial · cited by 53Finset.NontrivialFinset.add_mem_add · cited by 12Finset.add_mem_addNontrivial.add_leftCITED BYCITES

Cites8

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Cited by1

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