Mathlib Map

Theorems · Theorem · combinatorics

Finset.Nonempty.card_ne_zero

∀ {α : Type u_1} {s : Finset α}, s.Nonempty → s.card ≠ 0

Alias of the reverse direction of Finset.card_ne_zero.

Defined in
Mathlib.Data.Finset.Card
Cited by
3 results in Mathlib
Foundations
Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.expect_const · cited by 8Finset.expect_constFinset.card_smul_expect · cited by 3Finset.card_smul_expectFinset.expect_ite_mem · cited by 1Finset.expect_ite_memFinset · cited by 13712FinsetFinset.card · cited by 2327Finset.cardFinset.Nonempty · cited by 1001Finset.NonemptyFinset.card_ne_zero · cited by 5Finset.card_ne_zeroNonempty.card_ne_zeroCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.