The so-called "resistance" force of Conservative premiers waging war against the carbon tax implemented by Prime Minister Justin Trudeau began showing cracks on Tuesday, following the Liberals' re-election.

While some of the five provincial leaders who had publicly criticized or legally challenged the carbon tax maintained their attacks in the hours after voters elected a minority Liberal government, at least one appeared to back down.

The dissenter was New Brunswick Premier Blaine Higgs, who watched as residents handed six of his province's 10 seats to Liberals and one to a member of the Green party during Monday's vote.

"Our position was always let the industry pay for the technology to put into research and development and not force taxpayers to pay that," Higgs said at a news conference. "People voted for it, so we in New Brunswick have to find a way to make it work."

Higgs paved the way for the province to come up with its own scheme to reduce carbon emissions, which would free New Brunswick from the federal carbon tax.

The measure was introduced earlier this year and imposed upon provinces who had not implemented carbon-reducing regimes of their own. Those provinces included Saskatchewan, whose premier Scott Moe vowed on Tuesday to maintain his crusade against the tax.

In a terse statement, the Saskatchewan premier called on Trudeau, whose Liberals failed to secure a single seat in Saskatchewan and neighbouring Alberta, to extinguish the blaze of frustration burning in the Prairie provinces. He cited cancelling the carbon tax as one measure that could get the job done.

"Last night, Prime Minister Trudeau stated to Saskatchewan and Alberta: 'I've heard your frustration. I want to be there to support you,"' wrote Moe. "Those are nice words, but we need action."

Fellow Prairie premiers Jason Kenney of Alberta and Brian Pallister of Manitoba did not immediately respond to the outcome of the federal election, though Kenney is scheduled to speak later on Tuesday afternoon.

There was relatively little comment from Ontario Premier Doug Ford, the fifth member of the group dubbed "the resistance" and one of the most vocal opponents of the federal carbon tax.

Ford, who was all but invisible during the election campaign, had previously vowed to resort to any measures necessary to eliminate the carbon tax. In Ontario, this has included a court challenge similar to one mounted in Saskatchewan, as well as an aggressive new law forcing the province's gas stations to post anti-carbon-tax stickers on their pumps.

In the leadup to the election, Ford had said the results would dictate whether he persisted in his roughly $30-million plan to fight the tax.

"This carbon tax, it's not going to be the courts that are going to decide. The people are going to decide when the election is held," he said in August. "Once the people decide, I believe in democracy, I respect democracy, we move on."

But the day after Trudeau's re-election, and following a phone call between the two leaders, Ford's office was striking a more cautious tone.

"As we evaluate the results of the federal election, and as the premier said previously, we will continue to discuss our government's efforts to fight the federal carbon tax," spokeswoman Ivana Yelich said in a statement.

This report by The Canadian Press was first published Oct. 22, 2019.

-- With files from Kevin Bissett in Fredericton.