Theorems · Theorem · order theory
iInf_ite
∀ {α : Type u_1} {ι : Sort u_4} [inst : CompleteLattice α] (p : ι → Prop) [inst_1 : DecidablePred p] (f g : ι → α),
(⨅ i, if p i then f i else g i) = (⨅ i, ⨅ (_ : p i), f i) ⊓ ⨅ i, ⨅ (_ : ¬p i), g i- Defined in
- Mathlib.Order.CompleteLattice.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Quot.sound
- Assumes
- CompleteLatticeDecidablePred
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- iInfstatement · cited by 1,690
- CompleteLatticestatement and proof · cited by 1,048
- iInf_diteproof · cited by 2
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