Theorems · Theorem · logic and foundations
Cardinal.eq_of_add_eq_of_aleph0_le
∀ {a b c : Cardinal.{u_1}}, a + b = c → a < c → Cardinal.aleph0 ≤ c → b = c- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 103 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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_antisymmproof · cited by 2,068
- Cardinal.aleph0statement and proof · cited by 521
- not_ltproof · cited by 306
- self_le_add_leftproof · cited by 18
- Cardinal.add_lt_of_ltproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.mk_compl_of_infiniteproof · cited by 3
- Cardinal.eq_of_add_eq_add_leftproof · cited by 1