Theorems · Theorem · logic and foundations
Part.le_total_of_le_of_le
∀ {α : Type u_1} {x y : Part α} (z : Part α), x ≤ z → y ≤ z → x ≤ y ∨ y ≤ x- Defined in
- Mathlib.Data.Part
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Partstatement and proof · cited by 325
- Part.someproof · cited by 111
- Part.noneproof · cited by 36
- Part.mem_uniqueproof · cited by 18
- Part.eq_some_iffproof · cited by 17
- OrderBot.bot_leproof · cited by 6
- Part.eq_none_or_eq_someproof · cited by 1
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