Lemmas

📁 Source: Mathlib/Data/Nat/Order/Lemmas.lean

Statistics

Metric	Count
Definitions orderBot, semilatticeSup	2
Theorems coe_bot, exists_not_and_succ_of_not_zero_of_exists, set_eq_univ	3
Total	5

Nat

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
exists_not_and_succ_of_not_zero_of_exists 📖	—	—	—	—	find_spec find_min LT.lt.ne'
set_eq_univ 📖	mathematical	—	Set.univ Set Set.instMembership	—	Set.eq_univ_of_forall set_induction

Nat.Subtype

Definitions

Name	Category	Theorems
orderBot 📖	CompOp	1 math math: coe_bot
semilatticeSup 📖	CompOp	—

Theorems

Name	Kind	Assumes	Proves	Validates	Depends On
coe_bot 📖	mathematical	—	Set Set.instMembership Bot.bot Set.Elem OrderBot.toBot orderBot Nat.find nonempty_subtype	—	—

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