Theorems · Theorem · order theory
Interval.coe_inf
∀ {α : Type u_1} [inst : Lattice α] [inst_1 : DecidableLE α] (s t : Interval α), ↑(s ⊓ t) = ↑s ∩ ↑t- Defined in
- Mathlib.Order.Interval.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LatticeDecidableLE
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement and proof · cited by 8,199
- Bot.botproof · cited by 4,720
- LE.le.transproof · cited by 3,151
- Set.Iccproof · cited by 1,702
- Latticestatement and proof · cited by 916
- inf_le_leftproof · cited by 286
- le_sup_leftproof · cited by 265
- le_sup_rightproof · cited by 242
- inf_le_rightproof · cited by 238
- sup_leproof · cited by 159
- NonemptyIntervalproof · cited by 139
Cited by1
Results whose statement or proof uses this declaration.
- Interval.disjoint_coeproof · cited by 0