Theorems · Theorem · logic and foundations
Cardinal.add_lt_add_iff_of_right_lt_aleph0
∀ {a b c : Cardinal.{u_1}}, c < Cardinal.aleph0 → (a + c < b + c ↔ a < b)- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Cardinal.aleph0statement and proof · cited by 521
- Cardinal.add_le_add_iff_of_lt_aleph0proof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.add_lt_addproof · cited by 0
- Cardinal.add_lt_add_iff_of_left_lt_aleph0proof · cited by 0