Theorems · Theorem · logic and foundations
Cardinal.sum_add_distrib
∀ {ι : Type u_1} (f g : ι → Cardinal.{u_2}), Cardinal.sum (f + g) = Cardinal.sum f + Cardinal.sum g- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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.mkproof · cited by 942
- Cardinal.liftproof · cited by 583
- Cardinal.lift_idproof · cited by 163
- Quotient.outproof · cited by 141
- Cardinal.sumstatement and proof · cited by 58
- Cardinal.mk_congrproof · cited by 55
- Cardinal.mk_sigmaproof · cited by 20
- Cardinal.mk_sumproof · cited by 19
- Cardinal.mk_outproof · cited by 14
- Equiv.sigmaSumDistribproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.sum_add_distrib'proof · cited by 2