Theorems · Theorem · order theory
Equiv.biInf_comp
∀ {α : Type u_1} [inst : CompleteLattice α] {ι : Type u_8} {ι' : Type u_9} {g : ι' → α} (e : ι ≃ ι') (s : Set ι'),
⨅ i ∈ ⇑e.symm '' s, g (e i) = ⨅ i ∈ s, g i- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Equivstatement and proof · cited by 8,337
- Set.imagestatement · cited by 5,609
- Equiv.symmstatement and proof · cited by 3,681
- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_subtype'proof · cited by 34
- Equiv.imageproof · cited by 16
- Equiv.iInf_compproof · cited by 9
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