Theorems · Theorem · order theory
iInf_option_elim
∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] (a : α) (f : β → α), ⨅ o, o.elim a f = a ⊓ ⨅ b, f bA version of iInf_option useful for rewriting right-to-left.
- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLattice
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Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- iInfstatement and proof · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_optionproof · cited by 7
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