Theorems · Theorem · logic and foundations
Cardinal.add_le_of_le
∀ {a b c : Cardinal.{u_1}}, Cardinal.aleph0 ≤ c → a ≤ c → b ≤ c → a + b ≤ c- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 1 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- add_le_addproof · cited by 666
- Cardinal.aleph0statement and proof · cited by 521
- le_of_eqproof · cited by 366
- Cardinal.add_eq_selfproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- MeasurableSpace.cardinal_generateMeasurableRec_leproof · cited by 1