Theorems · Theorem · order theory
trans_trichotomous_right
∀ {α : Sort u_1} {r : α → α → Prop} [IsTrans α r] [Std.Trichotomous r] {a b c : α}, r a b → ¬r c b → r a c- Defined in
- Mathlib.Order.Defs.Unbundled
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsTransStd.Trichotomous
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- IsTransstatement and proof · cited by 157
- transproof · cited by 111
- trichotomous_ofproof · cited by 9
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