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Theorems · Theorem · logic and foundations

ZFSet.card_singleton

∀ {x : ZFSet.{u}}, {x}.card = 1
Defined in
Mathlib.SetTheory.ZFC.Cardinal
Cited by
1 results in Mathlib
Foundations
Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

ZFSet.card_pair_of_ne · cited by 0ZFSet.card_pair_of_neCardinal · cited by 2598Cardinalzero_add · cited by 2366zero_addZFSet · cited by 259ZFSetZFSet.card · cited by 16ZFSet.cardZFSet.notMem_empty · cited by 6ZFSet.notMem_emptyZFSet.card_empty · cited by 2ZFSet.card_emptyZFSet.card_insert · cited by 2ZFSet.card_insertZFSet.card_singletonCITED BYCITES

Cites7

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Cited by1

Results whose statement or proof uses this declaration.