Mathlib Map

Theorems · Theorem · logic and foundations

Cardinal.add_ciSup

∀ {ι : Type u} (f : ι → Cardinal.{v}) [Nonempty ι],
  BddAbove (Set.range f) → ∀ (c : Cardinal.{v}), c + ⨆ i, f i = ⨆ i, c + f i
Defined in
Mathlib.SetTheory.Cardinal.Arithmetic
Cited by
1 results in Mathlib
Foundations
Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Nonempty
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.ciSup_add_ciSup · cited by 3Cardinal.ciSup_add_ciSupSet.range · cited by 4705Set.rangeCardinal · cited by 2598CardinaliSup · cited by 2415iSupadd_comm · cited by 1535add_commBddAbove · cited by 620BddAboveCardinal.ciSup_add · cited by 2Cardinal.ciSup_addCardinal.add_ciSupCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.