Theorems · Theorem · logic and foundations
Cardinal.aleph0_mul_eq
∀ {a : Cardinal.{u_1}}, Cardinal.aleph0 ≤ a → Cardinal.aleph0 * a = a- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- le_rflproof · cited by 1,558
- Cardinal.aleph0statement and proof · cited by 521
- max_eq_rightproof · cited by 79
- Cardinal.mul_eq_maxproof · cited by 8
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.mk_list_eq_mkproof · cited by 3
- Cardinal.mk_subtype_le_of_countable_eventually_mem_auxproof · cited by 1
- Cardinal.aleph0_mul_mk_eqproof · cited by 0
- Cardinal.aleph0_mul_alephproof · cited by 0