Theorems · Theorem · logic and foundations
ZFSet.iUnion.congr_simp
∀ {α : Type u_1} [inst : Small.{u, u_1} α] (f f_1 : α → ZFSet.{u}), f = f_1 → ZFSet.iUnion f = ZFSet.iUnion f_1- Defined in
- Mathlib.SetTheory.ZFC.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses Classical.choice, Quot.sound
- Assumes
- Small
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- Smallstatement and proof · cited by 369
- ZFSetstatement and proof · cited by 259
- ZFSet.iUnionstatement and proof · cited by 10
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