Theorems · Theorem · combinatorics
Multiset.Rel.trans
∀ {α : Type u_1} (r : α → α → Prop) [IsTrans α r] {s t u : Multiset α},
Multiset.Rel r s t → Multiset.Rel r t u → Multiset.Rel r s u- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- IsTrans
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Multiset.consproof · cited by 313
- IsTransstatement and proof · cited by 157
- transproof · cited by 111
- Multiset.induction_onproof · cited by 109
- Multiset.Relstatement and proof · cited by 47
- Multiset.rel_zero_rightproof · cited by 4
- Multiset.rel_zero_leftproof · cited by 3
- Multiset.rel_cons_leftproof · cited by 3
- Multiset.rel_cons_rightproof · cited by 2
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