Section SpecLemmas.
Context {orig_base_params : BaseParams}.
Context {one_node_params : OneNodeParams orig_base_params}.
Context {raft_params : RaftParams orig_base_params}.
Context {rri : raft_refinement_interface}.
Proof using.
unfold update_elections_data_requestVote.
intros.
repeat break_match; repeat tuple_inversion; intuition;
simpl in *; intuition;
tuple_inversion; intuition.
Qed.
Proof using.
unfold update_elections_data_requestVoteReply.
intros. repeat break_match; repeat tuple_inversion; intuition.
Qed.
Proof using.
intros. unfold update_elections_data_appendEntries.
repeat break_match; auto.
Qed.
Proof using.
unfold update_elections_data_timeout, handleTimeout, tryToBecomeLeader.
intros.
repeat break_match; simpl in *; intuition; repeat tuple_inversion; intuition.
Qed.
Proof using.
unfold handleTimeout, tryToBecomeLeader.
intros. repeat break_match; repeat tuple_inversion; simpl in *; auto; lia.
Qed.
Proof using.
unfold update_elections_data_requestVoteReply.
intros. repeat break_match; repeat tuple_inversion; intuition.
Qed.
Proof using.
unfold update_elections_data_requestVote.
intros.
repeat break_match; repeat tuple_inversion; do_bool; intuition;
simpl in *; intuition; do_bool; try discriminate; intuition try congruence.
lia.
Qed.
Proof using.
unfold update_elections_data_requestVote.
intros.
repeat break_match; repeat tuple_inversion; simpl; auto.
Qed.

Lemma update_elections_data_timeout_votes_intro_new :
forall h st out st' ps t' h',
handleTimeout h (snd st) = (out, st', ps) ->
(forall t h,
t = currentTerm (snd st) ->
votedFor (snd st) = Some h ->
In (t, h) (votes (fst st))) ->
t' = currentTerm st' ->
votedFor st' = Some h' ->
In (t', h') (votes (update_elections_data_timeout h st)).