Theorems · Theorem · logic and foundations
Cardinal.add_lt_add
∀ {κ₁ κ₂ μ₁ μ₂ : Cardinal.{u_1}}, κ₁ < κ₂ → μ₁ < μ₂ → κ₁ + μ₁ < κ₂ + μ₂- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- LT.lt.leproof · cited by 2,189
- add_commproof · cited by 1,535
- Cardinal.aleph0proof · cited by 521
- lt_of_lt_of_leproof · cited by 438
- lt_of_le_of_ltproof · cited by 432
- LT.lt.transproof · cited by 370
- le_or_gtproof · cited by 269
- Cardinal.add_lt_of_ltproof · cited by 7
- Cardinal.add_le_add_iff_of_lt_aleph0proof · cited by 4
- Cardinal.add_lt_aleph0_iffproof · cited by 3
- Cardinal.add_lt_add_iff_of_right_lt_aleph0proof · cited by 2
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